{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 二项式分布（Binomial Distribution）\n",
    "***\n",
    "## 定义\n",
    "\n",
    "让我们来看看玩板球这个例子。假设你今天赢了一场比赛，这表示一个成功的事件。你再比了一场，但你输了。如果你今天赢了一场比赛，但这并不表示你明天肯定会赢。我们来分配一个随机变量X，用于表示赢得的次数。 X可能的值是多少呢？它可以是任意值，这取决于你掷硬币的次数。\n",
    "\n",
    "只有两种可能的结果，成功和失败。因此，成功的概率 = 0.5，失败的概率可以很容易地计算得到：q = p – 1 = 0.5。\n",
    "\n",
    "二项式分布就是只有两个可能结果的分布，比如成功或失败、得到或者丢失、赢或败，每一次尝试成功和失败的概率相等。\n",
    "\n",
    "结果有可能不一定相等。如果在实验中成功的概率为0.2，则失败的概率可以很容易地计算得到 q = 1 - 0.2 = 0.8。\n",
    "\n",
    "每一次尝试都是独立的，因为前一次投掷的结果不能决定或影响当前投掷的结果。只有两个可能的结果并且重复n次的实验叫做二项式。二项分布的参数是n和p，其中n是试验的总数，p是每次试验成功的概率。\n",
    "\n",
    "在上述说明的基础上，二项式分布的属性包括：\n",
    "\n",
    "- 每个试验都是独立的。\n",
    "- 在试验中只有两个可能的结果：成功或失败。\n",
    "- 总共进行了n次相同的试验。\n",
    "- 所有试验成功和失败的概率是相同的。 （试验是一样的）\n",
    "\n",
    "## 公式\n",
    "$$ Binom(k|N,p) = {N \\choose k}p^{k}(1-p)^{N-k} $$\n",
    " $N \\cdot p$ 表示分布的均值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- PMF( 概率质量函数 ): 是对 离散随机变量 的定义. 是 离散随机变量 在各个特定取值的概率. 该函数通俗来说,就是 对于一个离散型概率事件来说, 使用这个函数来求它的各个成功事件结果的概率.\n",
    "\n",
    "- PDF ( 概率密度函数 ): 是对 连续性随机变量 的定义. 与PMF不同的是 PDF 在特定点上的值并不是该点的概率, 连续随机概率事件只能求一段区域内发生事件的概率, 通过对这段区间进行积分来求. 通俗来说, 使用这个概率密度函数 将 想要求概率的区间的临界点( 最大值和最小值)带入求积分. 就是该区间的概率."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "e:\\ProgramData\\Anaconda3\\lib\\site-packages\\matplotlib\\__init__.py:1710: MatplotlibDeprecationWarning: The *left* kwarg to `bar` is deprecated use *x* instead. Support for *left* will be removed in Matplotlib 3.0\n",
      "  return func(ax, *args, **kwargs)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(-2.5,1.1,'Depicted below are the normed probability mass function (pmf) and the cumulative density\\nfunction (cdf) of a Binomial distributed random variable $ y \\\\sim Binom(N, p) $, given $ N = 20$ and $p =0.5 $.')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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mTZvWpCZ6bwNnZ2fWptrKCADfvXuXcbqJiQnc3d1hamoKTU1NlJWVIT8/X2YtLACYNGmS\nKIAfEhKCvLw8qWXs7e3Rr18/xvUNDAzkSrf4dWtvbw9nZ2fo6uqisLCwUUGoxqqsrARQ11WEp6cn\n2rRpg9LSUkRHR6OwsJBxnUOHDsHLywtGRkbNli4mI0eORK9evQDUNXFlqkVqbW3N+nGnqffOiRMn\nWM+Furo6PDw80L59e/D5fFE/kkwCAwPh4uKC7t27NzoNampqcHd3h729PXg8HiIiIsDlchmXDQ0N\nfSf7o5OVDzS2Wau9vT00NDQYa+C/ePECVVVVotraWlpaGDhwIC5fviy17M2bN1mPJVsQjimoFxYW\nxhqIVFNTg5ubG+zs7KCuro60tDTGj26VlZXYsmULfv/9d9Ym4EzE8xhbW1v07NkThoaGKCoqwvPn\nz0XNi7t27Yq2bdtKPRvLy8tx7949xgAvj8dDTEwM428aNmyY3Glkk5iYiMDAQNb5jo6O6NixI3R1\ndZGZmYn79+9LlQUEAgG2bduGAwcOSOVdLi4uuHjxotR2me53WflxUlISxo4dK5V2JvL2I0sIIYQQ\nQt5PKu0zUpympibGjBmDGTNmNOqFoqm6deuGtWvXwtDQUDTt+vXr8PX1ZVw+MTFRKhhZXV3NWrtH\nS0sLK1eulGqWdefOHfz666+ML4WBgYHo169fo2pP6OrqYsuWLejcubNo2pkzZ3DkyBHWdTp16oTN\nmzeLar988sknWLZsGWPzYGUGgGxtbbF48WJ4eHhIDZBSH4fDwapVq1BQUCAxvba2Fvfu3cP48eOV\nlq6WwNQcTqikpKTJ22fqLsDGxga+vr6MtZ6E+42Pj8etW7ek+godPXq06N+xsbGMwcj27duzjibe\nGJqamvjuu+8YX/aVcWzYWFhY4JdffoG1tbVo2ueff45ffvmFMcBQXl6O0NBQTJ48udnSxET8g8W/\n//7LGIw0NzdXyrmor6SkBMHBwYzzDAwM8PPPP0vkRUBdrdP9+/dLLS8QCHDs2DH88ssvjUqDtrY2\n1qxZI1Gj6uOPP8bSpUtRXFwstXxDg/28rWQ1f29slyYaGhqwtLRk/OAgEAjw+vVrWFhYiKaNGDGC\nMRgZFRWF+fPnSz2rORwOY9CZqbkzn89nDaiZm5tj/fr1Un1hPnr0CFu2bJHqpiM3NxfXr1+Xu8m6\nkJqaGr744guMHTtWqm9D8TxmxIgROHjwoNT6ERERjPnT7du3UV1dLTXdyckJbdq0aVQamRw5coTx\nQ6Oenh5Wr14t1e9jWloaNmzYIHVflJWV4fz581J9gLq4uEBNTU1qH0+fPgWfzxed94qKCqSnp7Om\ns365IT8/X+pZDtR9EG6o31NCCCGEEPJ+U1mfkfXp6elBW1ubsRZcc9HW1sYPP/wgEYgEgKFDh0q8\nkIljqjkoHMWVyZQpUxj7h/Ly8sK4ceMY1xHWwGyMTz75ROrlf8iQITLXWbRokURASldXl3X0aw6H\no1B/lkycnJwwbNiwBgORQN1ACmw1ZZ88eaKU9LQkWTUFG9MHHxumF1ZbW1vWQCRQV2ty4MCBWL16\ndYMDVTSnBQsWsDYrlefaUdTixYslApFAXV6xbNky1uPWUP9x75vIyEi8efOGcd6CBQuk8iIAGDt2\nLGuN2YSEhEb1swvUjchbv2mnmZkZa7Pa3NxcpeVhqlRaWso6T9Z9rMg69fdlb2/PONBJaWkpHj16\nJDU9IiKCcbv9+/eXGnQsLi6O9ZyvXLmSMTjl5ubGOqCWIk29P/74Y4wbN45xECrxPGbQoEGMH0lj\nYmIYa+KyHQdlDFyTlZXF2kz+22+/ZRyAxt7eHvPnz2dcJyQkROo5YWBggE6dOkktW1lZKfHR4+nT\npxJlNjMzM4kPWCUlJRJlJrZyjTD4SQghhBBC/rtarGbk69evcerUKYSHh+Pnn39WSfNbT09PmJub\nM86zs7Nj/ILP1CE9W3+NampqMmtqjB49GmfPnmWcFxcXxzqqJdN+mAKPpqam0NLSYuzXql27dujY\nsaPUdFk1bXg8nlKDQG/evEFsbCwePXqE7Oxs5Ofno7y8HG/evJGrP8uioiKlpaWlyOrvSxkvZ1ZW\nVlI1XWNjY3H48GF4eXnB1tZW7qbTqmRhYaGyvmPF2djYsPZdZmhoiH79+jEGPTIzM1FeXg49Pb3m\nTuJbga0fQwMDAwwYMIB1vdGjRyMqKopx3qNHj+Su2aalpcUa2GHql1BIGXlYRkYGHjx4INeylpaW\nCnW5IU5Wv4SKtCKQtQ7TvoYNG8ZY6zY8PBweHh5S05gwnSumYCZQV7NaVvPznj174tChQ1LTnz9/\nDi6XK/VxkY22tjYmTZok17LGxsbo06cPbt++LTGdz+fj9u3bEtdtUVERY1+J+vr68PLykmt/srAd\nNwMDA5nbZxu5/vXr18jIyECHDh0kpru4uDAO7peYmAgHBwcA0n1C9ujRA3l5eRIfCpOSkkQtAJiO\ni3BfhBBCCCHkv03pwchJkyZJBDv4fD4KCwsRExPDGEzKy8vDxo0bsWfPnmZvrs3U96MQW1BB2Kec\nuMzMTMZl27RpI/PF19LSEqampoxNChszkrK5uTnrfvT19RlfMJlqPQCAjo4O635kvRQ3hkAgQHBw\nME6ePAkej6fwdtj6hnuXyPoNxsbGTd5+3759pa4lgUCAs2fPigLhhoaG+OCDD9C2bVt06tQJzs7O\nMpuPq0LPnj1bpKaM8CVb1nymYKRAIEBOTg5jjcD3EVue16VLF5ndSzg4OKBVq1aMHxsak+fZ29uz\n5tGyav4pIw97/vy5zO4vxDk5OTU5GCkruMZWO1WW+k2cG9qXj48PDh06JHXsoqOjUVFRIarxmJqa\nipycHKn17ezsGPsbZht0JiMjA2PGjJH5G5gIBAJkZWXB0dFRruW7d+/eqJqlI0aMkApGAnX9Z4oH\nIyMiIhg/Mg0cOBDa2tpy748N0wjVQF2gna21hTzbrB+MdHV1ZfxY+uTJE1EQt35NR0dHR5ibm0sE\nIxMTE0XHh61mJPUXSQghhBBClB79GzVqFKysrKSmV1dXw9fXl7E5U3Z2Nq5du4aRI0cqOzkS2GpF\nApDqK0+I6SWDrRmdmZlZg2kwMzNjDEY2pomuqakp6zy2gG7r1q0Zp8sKACkyaicTf39/XLt2rcnb\neRebXNbHNmAQoJxg5IQJE3Dr1i3k5uayLsPlcpGcnIzk5GSEhoYCADp06IDJkyc3OZCiqJYKhjZ0\nz8q615oSWH/XKJrnaWlpwcDAgHF9Wc2RG7MfWR+xlJWHqZKsYKQiI87LWodpECZhjbv6tR4rKytx\n9+5dDB48GEDjakUCjTvf8mrMNj/44INGbdvNzQ0WFhZSLSaePHmCgoICUdcubMdBWTW9VXXcunfv\nzjjYUVJSEgQCAfh8vlT/oE5OTrCwsEBQUJDE8gBQXFzM2FephYVFo/s+JYQQQggh7x+V9RmpqamJ\nr7/+mrWmwK1bt5o9DcJRQ5k0plYWW20btoCmOLYX58bU4JG1H7bfIU/amkNUVJRSApHvC7ZR1QEo\nZfRyQ0NDbN26FX369GnUei9evMD27duxb9++JqdBEYr0hacMDdXGbmwTVzaygmLvQpCd7bfKU5ud\nLe9hqnXORlYNs/et7zlZXZbIGjyEyatXr1g/dBkYGLAGPtlGgBYG3mpraxEZGSk1X0NDA4MGDWJc\nV1k17cWVl5fLvWxj8xi27lAEAoHoOGRlZTGeE7a+NxXRHMeNqfsZbW1txpriPB4PmZmZSElJkRik\np3Xr1rC1tUW3bt3QqtX/ipIFBQXIz8+nJtqEEEIIIUQmlQ5go6enh3bt2jHOY2vC9TZiqk0CyPdi\nxPQSIGub77pLly6xzhs9ejR8fX1x8uRJXLx4UfT3ySefqDCFqlNcXIy7d++yzndzc1PKfszMzLBm\nzRr8+eefmDVrFtzc3OTuN+/y5cusfZQ1p5YKKDV0z8qa35jghqw+Ud+F7gfYglby5Hlsy7yveV5T\nyWrC2th7MzY2lnWes7Mz633n4uLCGBSNi4tDSUkJ4uPjGWtc9u3bl7WGd3Oc78bUfFUkjxk+fDjj\nesJgZGNrhypC3j4xG4PtuLH1n5uYmMjYRBuoGwivfuA1KSmJdTR7aqJNCCGEEEKAFhjAhq0Q3Jga\nDi2NrclzdnY2BAIB60sPn89nbT4rqznou6q2tpZ1BOxx48Zh3rx5jPOao1na22D//v0SNUvEtW/f\nnjVQryhbW1tMmTIFU6ZMAVBXwyU/Px85OTlISUnB9evXGYPjN2/eVFpg9G0nq9l8Q/Pr5wOyagnK\nyt/Y+oR7m5iamjIGnxrq97GgoIC1z8J3Jc8bOnQohg4dqrL9OTs7Q11dXWLUYqGEhARwOBy0adNG\nrm0Ju2FgwhZ4AuoCd8OGDcPRo0clpgtrRLLV0JTVNJntuenl5YWVK1eyrteSLC0t4erqKhUEzszM\nxIsXLxhrh2pra8PHx0dpaWC7Tzp16gRfX1+l7QeoC0IHBgZKTU9KSpLqlkK8r05HR0eJwW8SExNZ\nRwCnYCQhhBBCCAFUXDOSx+Oxvni/jSP8smEbCIfH47HWBgCAhw8fsgajZA2u864qLS1lfKEG2Jtq\n1dbWtkjNvOYkEAhw6NAh1lGFAWDmzJnNng4DAwPY29tjwIABmDdvHpYtW8a4HNtgJWzNbRUZVONt\n8eTJE5l9P7KNomxgYCAVEBIO7MGkfr9z4vtn6kO2IWyBz8Y0fW4MtvwpIyMD+fn5rOtFR0c3epv/\ndfr6+qJ+GesTCATYv3+/XDUCIyMjWT8GGRgYsDanFho6dKhE81uh69ev486dO1LThYE7Ns7OzozT\n4+LiFPoYyfZsUTa2Wo5//PEH8vLypKZ7eXkptdsJtuOWlpbGuP+GyDpuDg4OjPlYYmIiUlJSWNNV\n/15+8OAB/v33X6nt2NraytW3NiGEEEIIef+pLBhZWVkJf39/1mDcu9Shubu7O2vtxyNHjjD2AVdZ\nWYljx44xrqOuro6ePXsqNY1vA6YXWSG2gNfp06dlDr7yrnn8+DF+/PFH/P3336zLuLm5NbqPRzbX\nrl2TGmSADVvwjK0mG9sL9vPnz9+Jfg+ZVFVVMdYEAuoCaU+fPmWc5+rqKpUH6OnpsR6j+/fvS03j\n8/k4fPhwI1Nch+3jTU5OTrM0+/bw8GCcLhAIEBAQwBgcKykpwZkzZxjX09fXR/fu3ZWaxvfJlClT\nWPPPmJiYBgOSjx8/hp+fH+v8cePGsY5OLmRqagp3d3ep6enp6YzBw6FDh8psCu3h4cE4v7y8HH/8\n8YdcAVY+n4/o6GisXLmStYm0snl6ejI2lWYbKVqZTbSBug93Ojo6UtMFAgH27NkjV5+SAoEA8fHx\n2LRpk8RgM/VpaGgw3pevXr2SOOcGBgYSNfkdHR0lzu2rV68YzyfViiSEEEIIIUJKb6Z9+fJliRdl\nPp+PwsJC3L9/X+aonp6enspOSrOxtbWFt7c3Y023p0+fYtWqVZg9eza6dOkCgUCAlJQUHD58mLVf\nzMGDB7+XtQUMDQ2hr6/P2BT49OnTMDY2hpeXFwwMDJCTk4Nz584hJCSkBVLaNGVlZaKgS01NDXg8\nHgoLC+Wq9da2bVv88MMPSkvLnTt34OfnhzZt2qBXr17o3r072rZtC0tLS1HwkcvlIiEhAYcOHWLc\nBluzQLbRaPPz87FixQq4urpKBDg7der0TjT3vnDhAmpqajBx4kRYWVmBx+MhPDwcR44cYV1n5MiR\njNM7d+6MuLg4qemPHz/GwYMHMWXKFBgYGCA9PR2HDh1ibcrYELZzUV5ejhUrVqB3797Q19cXBQhs\nbGzQr18/hfYF1AVfu3TpwhjovnPnDrZs2YJPP/0U7dq1A5/PF/1etut//PjxLTao1rvAxsYG06dP\nZ/2AdeHCBTx9+hTjx49Hjx49YGxsjDdv3iAjIwPXr19HaGgoa3CvQ4cOmDhxolzpGDZsGGMgvT5h\ns25ZbGxsMGDAAEREREjNCwsLQ25uLsaOHQsnJydRH7dlZWXIz89HWloaEhMTce/ePdHzhK32qLIJ\nB+UJDg5ucNk2bdqw1mRUlK6uLsaOHcsYRIyPj8fixYsxefJkuLi4wNzcHEDdB6WCggKkp6cjKSkJ\n0dHRKCkpAVB3/mXp0aOHzL5GAengo6GhIezs7Fg/MopvmxBCCCGEEKAZgpFnz55t9DoWFhb48MMP\nlZ2UZvXZZ58hLi6OsYlnUlKwCrtTAAAgAElEQVQSli9fLiqsy6rxYWxsjOnTpzdbOluSmpoaPDw8\nGGuwVFZWYs+ePdizZw/U1NQkjlH9/7/tysrKZAau2LRt2xYbNmxoli4KOBwOOBwOLly4IJomz/UI\nsA+k4+zsjFOnTjHOe/bsmVSgavTo0e9EMBKo+4hy+fJlua49FxcX1pdqb29vxmAkAJw/fx7nz59X\nyvUtHHyEaTvZ2dlSfV16eHg0KRgJAPPnz8ePP/7IWAv27t27uHv3rly/zdbWFuPGjWtSWv4Lpk6d\nioyMDNy6dYtxfmpqKrZv3w5A/jzT2NgYa9askTk6ubjevXujdevWMj8kAnV5hoWFRYPbEz43mUb4\nTk5OFgXn5c2rVGX48OFyBSMbCsgqatKkSYiKigKHw5Gal52djd27dwNQznGTJ2Ao3l+k+DRZwUg1\nNTUaSZsQQgghhIiotM9IJkZGRli5cqXM/tbeRjY2Nvjpp5+gpaXFuoxAIJD5UqCjo4PVq1eLajO8\nj6ZMmSJzYA9A8sXJ2NhY6c3c3kZDhgzBjh07YGlpqbJ9NnQ9AnWDTLDV+nNxcUHHjh2bI2ktxsXF\nRaKGXkPHx8DAAIsXL2adP2jQoAaDMuL70NHRQfv27eVLrBhra2ulNe2XV9euXbF48WKZTXEbOn7G\nxsZYt25dg02ESZ1ly5Zh1KhRDS4nT/DJzs4Ov/76a6PyHHV1dblqIMqbZ1taWmLNmjWMzY7FyZNX\nqVL79u3RpUsXmcuoq6s320BH+vr62LBhg6jGKBtlHLeOHTs2OII3U3+vDfUBK892CSGEEELIf0eL\nBiO9vLywa9cudO7cuSWTobAePXpgx44dco9sKq5t27bYuXMnunXr1gwpe3vY2dlhyZIlUFdXb3BZ\nQ0NDbNiw4Z0ZZbexNDQ04OnpiV27dmHp0qVKHeRAGUxNTbF+/XoYGRkxzldTU8MPP/wAa2trFaes\n+Tg6OmLFihVy1RQzMDDA5s2bYWVlxbqMjo4Oli1b1mCwRbi9jRs3wt7evlFpFvrmm28UXldRgwYN\nws8//9xgUIRJt27dRF0IEPloaGhg4cKFWL58uVw1D9m2MWrUKOzatUuhvpkbCjQaGRmhb9++cm+v\na9eu8PPza9K1q6enp/LnREPHwd3dnXXEcGWwsbGBv79/k2qba2pqNhiMVlNTk9nUXEdHh/HcNRSM\npCbahBBCCCFEnNKbaTPR1taGjo4OWrdujbZt26Jr167w9PRUaa2w5tKxY0f89ttvCAsLw8WLF5GR\nkcFaM0FNTQ0dO3bEmDFjMGjQoAZrDL4vfHx8YG5ujgMHDiAtLU1qvoaGBnr37o25c+fCysoK9+7d\na4FUNo2amhrU1dWhrq4ObW1tGBgYwMjICBYWFrCxsYGDgwOcnJyaPQA5Y8YM2NvbIyEhAWlpaXKN\ndG1tbQ0fHx9MmDChwfTZ2tpiz549uH79Oh48eICMjAzweDy5BlF4W3l6esLf3x9//PEH4uLipO7f\nVq1awcvLC/Pnz5crAOLk5IStW7fijz/+YBwAR1NTEwMGDMDnn38OExMThftJNTExwc6dOxEREYE7\nd+4gPT0dpaWlzTaitpCrqyv279+PkJAQXLlyhbHpqFCrVq3QrVs3jBs3Dp6enjJrVRJ2AwcOhLe3\nNyIiInDjxg2kpKQ0eJ7btm2L3r17Y9y4cU0K3Nna2sLR0ZF1wJbBgwc3+llma2uL3bt34+7du7h4\n8SKSk5MbHATLzMwMLi4ucHd3R9++feVuaq4sAwYMwMGDB1nzVFXU6Dc1NcXPP/+MR48e4cKFC4iL\ni2sw7zUyMoKTkxPc3d1FfTQ3pEePHowjpgN1HxWYPi6ampqiTZs2rPkBNdEmhBBCCCHi1EpKSt6e\ntlDvgdevXyMlJQXFxcXgcrlQU1ODgYEBzMzM4ODgwFrr7L8iIyMDKSkpeP36NXR0dGBubg5HR0cY\nGxu3dNLeOwKBABwOB3l5eSgoKEB5eTkqKyuhpaUFHR0dWFhYwM7O7r2q6dhURUVFSExMFA28IgyA\nKFITEACysrKQkpKCkpISaGlpwcLCAj169HjrasU2RXFxMZ4+fYqSkhLweDyoq6vD0NAQFhYWcHBw\noCbZzYDP5yM1NRUFBQXgcrng8XjQ1taGkZERjIyM0KlTJ4Wv2ZZQWVmJ1NRU5Ofng8fjoaKiAjo6\nOtDT04OVlRU++OCD93KQt6bi8/l4/vw5OBwOeDweysvLoaWlBT09PVhaWsLW1haWlpb0EYAQQggh\nhLx1KBhJCCGEEEIIIYQQQghRiRYfwIYQQgghhBBCCCGEEPLfQMFIQgghhBBCCCGEEEKISlAwkhBC\nCCGEEEIIIYQQohIUjCSEEEIIIYQQQgghhKgEBSMJIYQQQgghhBBCCCEqQcFIQgghhBBCCCGEEEKI\nSlAwkhBCCCGEEEIIIYQQohIUjCSEEEIIIYQQQgghhKgEBSMJIYQQQgghhBBCCCEqQcFIQgghhBBC\nCCGEEEKISlAwkhBCCCGEEEIIIYQQohIUjCSEEEIIIYQQQgghhKgEBSMJIYQQQgghhBBCCCEqQcFI\nQgghhBBCCCGEEEKISlAwkhBCCCGEEEIIIYQQohIUjCSEEEIIIYQQQgghhKgEBSMJIYQQQgghhBBC\nCCEqQcFIQgghhBBCCCGEEEKISlAwkhBCCCGEEEIIIYQQohIUjCSEEEIIIYQQQgghhKgEBSMJIYQQ\nQgghhBBCCCEqQcFIQgghhBBCCCGEEEKISlAwkhBCCCGEEEIIIYQQohIUjCSEEEIIIYQQQgghhKgE\nBSMJIYQQQgghhBBCCCEq0ehgZHBwMNzd3aX+vLy8MGLECEyZMgUrV67E8ePHkZeX1xxpVrrY2FjR\n7+BwOC2dnGbD4XBEvzM2NrbR669fvx7u7u6YP39+M6ROPn/++Sfc3d0xZsyYFksDUZ4xY8bA3d0d\nf/75Z0snhbylhHlWcHBwSyel2b0Neawy0jB//ny4u7tj/fr1UvPEyxBM/kvn+7/qwYMHWLJkCYYP\nH44+ffrA3d0dPj4+LZ0slXvfyjMnT56Eu7s7Vq5c2dJJabKioiL8+uuvmDBhAry8vET5Unh4OABg\n9uzZcHd3R0RERMsmVIVUdb2+Dc9Bohxvy/v125KO5tTUd/y31fv6u8j/KK1mZFVVFYqKipCeno7Q\n0FD4+vpi3LhxWL58OQoKCpS1m3fKfyHzI6Q+enAQQpoDvaS++27duoWFCxciKioKxcXFqKmpaekk\nKd1/8SMbl8tFQEAAWrVqhXnz5rV0cpqkvLwcc+bMQVBQELKzs1FVVSW1jPA37t279728hpvDf/G+\nIM2LygRE1sdv8m7QaMrKfn5+cHNzAwDU1NSAx+MhPz8f8fHxCA4ORmZmJm7evInY2Fjs3r0bPXr0\nUEqiCSGEEELIu+Xw4cMQCATo0KED1q5di3bt2kFDQwNqamotnTTSBP/3f/+HkpISDB8+HB06dGjp\n5DTJ1atXkZOTAzU1NaxevRre3t7Q09MDAGhrawMAvL294ejoiKSkJJw/fx6TJk1qySQTQggh76Qm\nBSN1dHRED2gAMDQ0hI2NDVxdXTFr1iycOHEC/v7+KC0txfLly3Hs2DFYWVk1OdHK1qtXL8TExLR0\nMgghhJB33v79+xVel57F77dnz54BACZMmABnZ+cWTk3LWrBgARYsWNDSyWgyLpeL06dPAwA++eST\nFk5N0wmv0U6dOmHcuHGsy02dOhVr167F4cOHMWHCBLRqRd3wE/I2ovf8d1ebNm3o3L3nmu3Jqaam\nhunTp+Prr78GABQXFzfpBYUQQgghhLy73rx5AwAwMDBo4ZQQZbly5QrevHmDDz74AC4uLi2dnCar\nrKwEUFfBQhYfHx/o6OggLy8Pd+7cUUXSCCGEkPdKk2pGymPmzJk4f/48srKycPnyZXzzzTdo3bo1\n47L379/HP//8g/j4eBQXF0NTUxN2dnYYMmQIpk6dCl1dXal1OBwOxo4dC6Cuc+Xu3bvj6NGjuHHj\nBjgcDjQ1NdG9e3dMnToVAwYMYNxvbGys6Ot0cHAw2rRpw7hcUVERgoKCcPfuXfz777948+YNTE1N\nYWtrCx8fHwwfPhxmZmYAINU5vzCN4pgi/QUFBTh16hTu3LmD3NxcVFVVwdzcHO7u7pgxYwY6duzI\nmDahuLg4HDt2DPHx8SgvL4eVlRV8fHzw2WefyVxPEQ8fPsTx48eRlJQELpcLS0tL+Pj44PPPP4ex\nsbHMdUtLSxEUFIRbt24hOzsbFRUVMDExgZubG6ZOndqkJv21tbW4cuUKrly5gpSUFHC5XBgaGsLB\nwQGjR4/Ghx9+KNUkLCsrCxMnTgQAHDx4EK6urhLz8/PzMXr0aACAkZERrl+/LvUV/Ny5c9i8eTN0\ndXURHh4OdXV1udNcVlaG6Oho3Lp1C4mJicjLywOfz4exsTG6deuG0aNHY+jQoaxN2ebPn4+HDx9i\nzJgxWL9+PW7duoW///4bycnJePXqFfr164edO3dKrNMc52DMmDESA1cx1fqQdY9FREQgKCgIKSkp\nKC8vh7W1NYYMGYLPPvuswZfXzMxMnD59Gg8ePEBeXh5qa2thZWUFT09PzJgxAzY2No3+PUBdvnLg\nwAFYW1vj4sWL4HA4OHLkCG7fvo2ioiIYGhrC1dUVc+bMQdeuXWVui8PhIDAwENHR0cjPzwcAWFtb\no2/fvpg+fTprGuunIS0tDYGBgXjw4AEKCwuhra0t6lh//fr1uHjxInr27In9+/cjKSkJR48eRXx8\nPEpLS9GmTRuMHDkS06dPh46ODoC6a+HkyZOifFNLSwu9evXCV1991WCe09TrKC0tDYcPH8aDBw/A\n5XJhamoKb29vzJ49W+Fzxnbcnj17hqNHjyI2NhavX7+GqakpPD09MXfuXFhbWzNuQ5F76/nz5zh5\n8iRiYmJQUFAADQ0N2Nraol+/fpg+fTpMTEzkSr8ieWxlZSViYmIQGRmJuLg45ObmorKyEkZGRujU\nqROGDx+OMWPGQFNTs9nSUP+YNYbw2bl27VrRczM4OBgbN26USFP9Z6xwXwsXLsT9+/fh7OyMw4cP\ny9zX1q1b8ddff8HU1BSXL1+GhoZ8RSLx9AjP8ZEjR3Dr1i0UFBTA1NQUffv2xbx580StQWpra3Hh\nwgWcP38eGRkZqK6uhoODA2bNmoWBAwcy7kcgECApKQmRkZGIiYlBRkYGysrKoKenhw8++ADe3t74\n5JNPZF5Pubm5OHHiBO7fvw8Oh4Pq6mqYmJigdevWcHR0hLe3NwYNGiS1Xnx8PM6cOYPHjx+jsLAQ\nampqaN26NSwsLNCzZ08MHjwYjo6Och0v8TKW0MaNGyXO6Z9//olevXrJXR6rf2+Lq39+SkpKcOTI\nEYSHhyM/Px86OjpwdHTEZ599xjqQklBNTQ1CQkJw/fp1JCcno6SkBPr6+rCysoKbmxuGDx8uCsAJ\n816hAwcO4MCBAxLbE7+uZf0GIUXKM0L17yXh9Zeeno6qqiq0bdsWo0aNwrRp0+TOD5icO3cOAPDh\nhx+yLlP/uaRIviIsX8ybNw8LFizAtWvXcObMGTx//hx8Ph8dOnTAtGnTJNKRmZmJY8eO4d69eygq\nKoKJiQl8fHywYMECqf3UL7/Uz2fq52d6enoYOHAgQkJCcO7cOfTr169Rx02opKQEt2/fxq1bt/D0\n6VMUFBRAIBCI7tEJEybA09OTdf36x0XRclRNTQ2CgoJw8eJFZGZmQlNTEx07dsT48ePx0UcfKfTb\ngMbfF/WlpqbiyJEjiI2NRUlJCUxMTNCnTx/MnTsXbdu2lbnv5nzXEHr27BnOnj2L2NhYvHz5ErW1\ntbC0tIS9vT0GDx4MHx8fifdXeZ+PTM9Coea+FwD5343lycfYKPru05gygazfcubMGWzbtg2tWrXC\nxYsXYWlpyZrWhw8fivqm3Lt3L/r27Su1jCJxjMZQxju+onGG+tfto0ePcPz4cSQmJqK0tBTm5ubo\n378/5s6dK4qF1Mfn83H+/HmEhoYiPT0dXC4Xenp6aN26Ndq1a4fevXtj5MiREmWa+nGeXr16if4t\nno9cvHhR6voT3h8TJ05EVlYWhg8fji1btsg8PosXL8bt27fh4OCAwMDAhg8oabJmD0aqqalh3Lhx\n2LNnD6qrq/Hw4UMMGTJEYpnKykps3LgRISEhEtOrqqqQnJyM5ORknDt3Dnv27IGdnR3rvkpLSzF7\n9mykpaWJpr158wb37t3DvXv3MGPGDCxZskSh33H16lVs2rRJ9FVfKC8vD3l5eYiNjUVOTg6+//57\nhbYPACEhIdi4caPoq6wQh8NBcHAwLl26hB9//BETJkxgXP/kyZPYtWsXBAKBaFp2djaOHTuG0NBQ\nbNiwQeG01Xf27Fls27YNtbW1omn//vsvjh8/jpCQEPz+++9o374947oxMTFYsWIFSktLJaYXFBQg\nNDQUoaGhmDt3Lr766qtGp6u0tBTff/89Hj58KDH91atXiI6ORnR0NP755x/s2LFDolBmZ2cHS0tL\nvHz5EjExMVLBSPHAcWlpKVJTU+Hg4CCxjHCwFldX10YFIgFg3bp1omCSuKKiIkRFRSEqKgpXrlzB\ntm3bGnxp2LNnD44cOSJzmeY8B4rauXMnTp48KTEtKysLhw8fRlRUFAICAiS6hRB37Ngxxo7ks7Ky\nkJWVhX/++Qdbtmxh/SAhr9jYWCxbtgw8Hk80rbi4GGFhYYiKisLu3bvRp08fxnVDQkKwYcMGqc7w\nMzIykJGRgb///hsbN27E0KFDZaYhPDwcK1eulNiOsB+r+i5cuIBNmzZJHJeMjAz8/vvvePToEXx9\nfZGfn49vvvkG2dnZomXevHmDmzdv4t69ezh48CC6dOnCuP2mXkc3btzAqlWrwOfzRdPy8vJw9uxZ\nhIaGYu/evTKPRWNERETgp59+kjhueXl5OHfuHEJDQ+Hn5yd139cnz7119OhR7N27VyJvrKqqQmpq\nKlJTU/HXX39h586d6Nmzp8ztKJrH7t27V+o+AurywAcPHuDBgwcIDg6Gn58fjIyMmiUNLWn8+PG4\nf/8+EhISkJGRwZq+qqoqhIaGAgBGjhwpdyCyvpSUFHzzzTd49eqVaFpeXh7Onz+P6OhoHDx4EK1b\nt8aPP/6IW7duSawbHx+PZcuWYc2aNYzNQSMjI7Fs2TKp6VwuV6Js5O/vL/U8Auryq8WLF0uVWwoL\nC1FYWIjU1FRcvXoVUVFREvOPHj0Kf39/qe0JyzsJCQlIS0uDr6+v7IPzFkhPT8fXX38tMZBiVVUV\n7t69i+joaKxbt451dODc3FwsW7ZM1GxXqKSkBCUlJUhJScHFixcZn93KoGh5pj6BQIAVK1YgLCxM\nYvrz58/h7++P+/fvw9/fX6FmxpmZmUhNTQUAeHl5ybWOMvKVzZs3i4KgQklJSVi9ejWysrIwf/58\n3LlzBz/88AMqKipEy7x8+RJBQUGIjY3FoUOHoK+vL+cvZebl5YWQkBDcvn0bFRUVCgUbFi5cKHWN\nAXUfwfPz8xEWFoZJkybhp59+anBbipajKioqsGjRIjx69Eg07c2bN4iPj0d8fDzu37+PDz74oNG/\nralCQ0Oxfv16ied2QUEBLl68iIiICBw4cACdOnViXLe5y7k1NTXYs2cPAgMDJd67gP+VPW/evIkd\nO3bAx8dHoX3I4225FxShzHcfRQwbNgw7d+4En8/H1atXMWvWLNZlr1y5AgAwNzdH7969JeYpK44h\nizLe8ZsaZxAKDAyEn5+fRB6em5uLoKAgREZG4tChQ1KB3fLycnz99ddISEiQmM7lcsHlcpGVlYVb\nt27B0tJSKk7UVMI4VHh4OEpLS1nLvoWFhYiOjgaAJn2AIY3T7MFIABLNNhISEqQusjVr1iAsLAzq\n6ur4+OOPMXLkSNja2qKqqgoxMTHYt28fcnJysHTpUhw/fpz1Yb9r1y4UFhZiwYIFGDFiBIyMjJCS\nkoLffvsNT548wfHjx9GhQweZfcAwuXnzJlavXg0AsLCwwJw5c9CnTx+YmJiIXgrCwsIkMsrIyEg8\nevQIixcvBgAEBQWx1rwRLr969WoIBAL06NEDM2fORPfu3aGtrY0XL17g2LFjiIiIwJYtW2BtbS31\nlfTevXui2jl2dnZYtGgRXFxcUFlZifDwcPz+++8SX5GaIjs7G9u3b0fXrl2xcOFCdO3aFaWlpQgN\nDUVAQAAKCgqwdOlSnDp1SipIkpycjEWLFqGqqgr29vaYPXs2XF1doa+vj5ycHJw5cwbBwcEICAiA\njY0Nxo8fL3e6BAIBVq5cKSq4jx8/HpMnT4a1tTXy8vIQFBSE4OBgxMTEYPXq1VIvUr169cKVK1cQ\nExODL774QmKeMNCooaEBPp+PmJgY1mBkQzUtmBgZGWHMmDHo378/bG1tYW5uDqAuc79+/Tr++usv\nREZG4o8//sC3337Lup179+6hoKAAAwYMwKxZs9C+fXtwuVzk5uaKlmnOc3DmzBnk5uZiypQpACQH\nuRJiun8vX76MnJwcjB8/HhMnToStrS1evXqFEydO4O+//0ZqaioOHTqEb775RmrdoKAg+Pn5AQD6\n9++PKVOmoEuXLlBXV8fTp08REBCAR48e4ccff8TRo0dZC64NKSsrw4oVK2BtbY0FCxaI8rW7d+9i\n586d4HK52LhxI4KDg6WC0XFxcVizZg1qa2thbW2Nr7/+Gu7u7lBTU8ODBw+wZ88evHz5EqtWrYKF\nhQXr13oul4u1a9eibdu2WLBgAXr06IGamhokJydLLZudnY0tW7agV69e+OKLL9CxY0e8fv0ax44d\nEwVKzp8/j/Pnz6OiogJr1qxB3759oampibt372Lbtm0oLy/H1q1bcejQIantN/U6Sk9Px+rVq8Hn\n82FmZoZvv/1WFMiNjo7G3r175Xr5kkdZWRnWr18PKysrLFq0CD169EBlZSUiIiLw+++/o6ysDN99\n952olhwTee6tq1evioI49vb2WLhwIZydnVFZWYmoqCjs27cPXC4XS5YswYkTJ1hf7pqSx+rp6WHI\nkCHw8fFBu3btYGZmBk1NTbx8+RKRkZE4deoUEhISsHXrVplfiJuSBmUT1o7YsmULrl69CldXV6lg\nmTCY6OPjAyMjI5SWluLChQus+WVERIToJZWtRo48li9fDgMDA/zwww9wc3NDTU0Nbty4AV9fX+Tl\n5eG3336DsbExoqOjMX/+fAwfPhytW7dGamoqtm3bhhcvXmDHjh0YOHCgVA1HNTU19OrVC4MGDULX\nrl1hbm4OAwMDFBcXIz4+HoGBgcjIyMDy5ctx5swZifNQW1uLdevWiZrPzps3Dy4uLjAyMkJJSQny\n8/Nx7949qQBpZmYmfvvtNwCAh4eH6FrX1dVFYWEhcnJyEB4ejurqarmPkaurKyIjIwFA9EHop59+\nwsiRI0XLNNc1tHTpUmhoaGDDhg1wd3eHtrY24uLisH37duTn52Pbtm3o16+f1LEvLS3FggULwOFw\noK6ujgkTJmDUqFGws7NDTU0NMjMzER0dLfEivXLlSqxYsQJTpkxBXl4eZs+ejTlz5khsV97f2dTy\njLhDhw4hLy8Pn332GUaNGgULCwvk5eXhwIEDuHnzpuhZIGwd0hjC4JW6ujpjQLw+ZeQrly5dAofD\nwdSpUzF+/HhYWloiOzsbu3btwuPHj3Hw4EE4Ozvjp59+QocOHfDll1+ie/fuqKiowPnz5xEQECCq\nkS9epjhz5gwEAgFrPsP0wUJYO5jP5yMhIUEqSCEPCwsLODs7w9vbGzY2NjA3N0dlZSVyc3Nx6dIl\nXLhwAWfPnkWXLl1kDpTTlHLU5s2bRedy5MiR+PTTT2FjY4Pc3FwEBgbiypUrrDXjGqLofZGdnY31\n69fDyckJc+bMgYODA6qqqhAWFgZ/f39wuVxs2bKlWcon8ti9ezdOnToFoO46mDVrFpycnKCjo4PC\nwkLEx8fj6tWrzTo4V3PdC6qi6LtPY8oEspiYmMDLywuRkZG4fPkyazCyuroa169fBwCMGDFC6sON\nsuIYbJTxjt/UOIPQw4cPcenSJQwcOBAzZsxA+/btUVZWhuDgYNGzxs/PD5s3b5ZY78iRI0hISIC6\nujo+++wzDBkyBBYWFqiurkZ+fj5SU1MREhIi9/0yZ84czJw5E4sWLUJcXBw+/PBDrFy5UmIZYVxm\nzJgx2Ldvn+gj9OTJkxm3efnyZdTU1EBLS0uifEKal0qCkeJfAQoLCyXmhYWFib7Wrl+/Xurkjxo1\nCh4eHpg+fToyMzNx5swZ1swiNzcXP//8s8Q2+vTpAxcXF8yZMwepqanYs2cPRo4cCS0tLbnSXlFR\ngU2bNgEA2rZti4CAAImXVSMjI9ja2mLo0KEStY/09PRETSAB6cF+xFVWVmLTpk0QCATw9PSEn5+f\nREbn6uoKV1dXrF27FpcvX4avr69UJrFr1y4AdYWagIAAiabw06ZNQ5cuXfDll1/K9ZsbUlBQgM6d\nO+PPP/8UZagmJib44osvYGtrizVr1iA7OxtBQUGYOXOmxLrCmmGdO3fG4cOHJY6RkZER1q5dK/oN\ne/fuxYcffiixjCwRERGiLxqzZ8+WeLCamJhg7dq1MDExwdGjRxEVFYWIiAiJ5nHu7u64cuUKEhIS\nUFVVJXGNCGtGfvTRRzh37hxiY2Mxffp00fzMzExRzQthFfLGWLt2LeN0c3NzODs7o0+fPli0aBGC\ngoIwZ84c1i+YBQUFGDZsGLZs2SLK0E1MTCSasjTnOdDV1ZX7uheXk5ODr776CnPnzhVNMzY2xsqV\nK1FYWIjIyEhcuHBBqrBUWFgoegmbMGECVq1aJTG/b9++8PDwwFdffYWHDx9i7969Ctfm4XK56NKl\nCwICAiQKEmPGjIGenh5WrFghesGvX0NEWAukdevWCAgIkBjIa+TIkXB1dcXMmTNRUlKCX3/9lbVp\nQFlZGezs7HDw4EGJ/rPydBwAACAASURBVKyYmpYUFBSImhALg6MmJiZYvXo1Xrx4gfj4eGzfvh06\nOjo4fvy4xDUyevRoVFdXY9OmTXj8+DFjDbOmXkf+/v6orq6Gjo4O9u/fj3bt2onmffTRR3B2dpa4\nx5qCy+WK0iKef3/yySdwcHDAggULUFpaioMHD2LFihWM22jo3qqqqhLlw+3bt5c6Rx9//DGcnZ0x\nZ84clJeXw8/PD9u3b2fdl6J5LFstD1NTU3Tt2hVDhgzBp59+imvXruGrr75ibebWlDQom7q6OvT0\n9EQvF61atWLNV7S0tDBq1CicOnUKly9fxsKFCxlrqgcHBwOoe4m0t7dXOG01NTU4evSoRDBr2rRp\nePXqFQ4dOoTQ0FDU1tZi69atEh9i3d3dsWPHDnz88ceoqKjAjRs3pAINAwYMYKzNbWJigo4dO2LE\niBH49NNP8e+//+Lq1asSH1rT09NFTU5//fVXidrNxsbGoiZR9YO1d+/eRU1NDUxNTeHv7y/xkdXE\nxASdOnVibVbORnj+xGlqasr1bGiqqqoqBAYGStz3Pj4+sLKywsyZM1FRUYHr169LvZzs3bsXHA4H\nampq+OWXXzB48GCJ+WZmZujZs6dE83MtLS2JckNTfmNTyzPicnJypMrGRkZG2LZtG2bMmIFnz54h\nODhYoWCkMFjaqVMnuQKtyshXOBwOvv32W4mmicbGxti9ezc++ugjlJeXY8mSJejSpQsOHDggSpeJ\niQm++uor5OTk4OrVq1JlCmF65MlnhNq1awdDQ0NwuVw8fPhQoWCk8GNqfdbW1nBzc0PXrl2xdetW\nHD58GBMnTmR9WVe0HPXkyRNcvXoVQF3QW1j5Aqg7Zps2bYKWlpYoz2wsRe+LgoICeHp6wtfXVyIP\nnzZtGmpqauDr69ts5ZOGPH78WBSIHDx4MH755ReJNBobG8Pe3h4TJ06UarGjTM11L6iKou8+jSkT\nNGT06NGIjIzE8+fP8fz5c8YKC7dv3waXywVQF5cQp8w4BpumvuMrI84gxOFwGPOJr776CjweD6dP\nn0ZYWBh4PJ5Ejf3bt28DAKZMmYKFCxdKbNPKygouLi4yP7bUp6mpCU1NTdHv0NDQYL0GzMzM4O3t\nLcoD2YKRFy5cAFBX9mqouzmiPCoZ+k38hez169cS84SZeb9+/Vij0BYWFqKaVsIHJhMnJyfGbejq\n6ooy2ZKSEqmaALJcvnxZlOZVq1ax1poB0OimuUJXr15FcXExWrVqhfXr17M2lRHevGlpaRJNOp48\neSJqmj537lzGPjmFtSuU5dtvv2X8sjNy5EjRl+L6fTfExMTg+fPnAOq+IrE9+D///HPo6OigpKQE\n9+7dkztN58+fB1CX6bCNUPnll1+KzuE///wjMU8YRKysrERiYqJoem5uLjgcDnR1dUWF44cPH0oU\nMITBSj09PXTr1k3uNMvLy8sLrVu3RkVFBR4/fsy6nLq6Or777jvWwmpznwNFWVlZYfbs2YzzhFXl\ni4qKJPpzAoC//voLVVVVMDY2xvLlyxnXV1dXFwVobt++LdVkpzHYrnsfHx9RPvfkyROJeU+ePBE1\nY5szZ45EIFLIxsYGn3/+OYC6Zp9MNR2FvvzyywY71hf67rvvGPOl4cOHA6gLpHzyySeMAalhw4aJ\nriPx+wFo+nVUVFQk6vB/6tSpEoFIofbt24vyfWWYO3cuY/7t5uYmCjQIv4oyaejeunXrFoqLiwHU\nXSdM56hr166iF/7IyEiJpr31KZLHysPe3h4ODg4QCAR48OCBzGWbKw3NTVjLpaCgQBTQEVdQUID7\n9+8DaHpTnHnz5jH22ThixAgAdfdYjx49GJsdtWvXThQkTEpKavS+9fT0RNeu8PcIiXd9IKsfrPqE\n13/r1q2bpVmcqs2bN4/xvu/WrZvopbN+ns3j8UTX9ahRo6QCkeIULfc1pKnlGXEuLi6MZeNWrVqJ\n+sJOSUlRKGiSnp4OALC1tZV7nabmK9bW1pgxY4bUdGNjY1E/bjU1Nfj2228ZA6TC519RUZFEzXZF\nqKmpiX678Fgom/Ac5eXlISsri3U5RctRwhdwLS0tLFq0iHH9RYsWyV2JQ5m+//57xntMPN+un3eq\nopwrfHfV19fHmjVrZOYDzZVHAG/XvdAc5H33aYr+/fuLgmbCptj1Xb58GcD/yk/ilBnHYKKMd/ym\nxhnE6ejosOYTwvuyurpa9N4jJCyTWFhYsKazOQk/1iYlJeHFixdS8xMSEkTTm9JahjSeSoKR4v0b\niL/IiWcu7u7uKC8vZ/0Tdqj6/Plz1uZBsm7Evn37ih5IcXFxcqddWMC3trZWqPmtPIQvhJ07d4au\nri7rMTAyMhJlQuLBCvHfI+sYyCpQN4aOjg5rv3jiaUhPT5cI/Agf9sJaGWy/s7a2VvSVs/5LAhuB\nQID4+HgAdV802F6itLS00L9/fwCQ6BsHAD744ANRU3phk2vgf+fHzc0NdnZ2sLGxAY/HQ0pKimgZ\nYTBSkf4ihfLz8/H7779jzpw5GDx4MPr06QN3d3fRnzBwkZmZybqNzp07y8zom/McNEWfPn1Yj5t4\noKqoqEhinvD+dHNzA5/PZ/09wt8iEAjw9OlThdKopaUFDw8PxnmtWrUSBfTq1/4Wvz9l9QcpPo8t\nj1JTU5O7Xy5bW1vWvmnEmwezff3U19cX5TfCIJtQU6+jhIQEUV8zsvpSUmY/S7LyRuE8Ho8n0eew\nuIbuLWF+oqOjI3MgA+F5rqmpYS1cK5rHCr1+/RpHjhwRNQvu27evRF4iPBey8pKmpqElderUCd27\ndwfwvxdtcZcuXUJNTQ20tbVFQUNFMXViD0gGZ9iWAf53L9bPN4Rqampw4cIFfPfddxg9ejS8vb0l\nzuXRo0cBSJ/Ldu3aiV4+161bJ/NcixMOwpWWloY9e/agpKRErvXeVrLyS+Gzpf5zJS4uTtRHXUv0\nG6WM8ow4eY5BdXW1Qvex8PpoqP9ZIWXkK71792YtLwjvJ+EgbEzEP77VP/eKEP72ptwrGRkZ2LVr\nF2bMmIFBgwZJlP+E51i4HBtFy1HC8kavXr1Yz6OJiUmD/Rwrm62tLeOHSqCu7CEsn9T/Paoo5wrL\n/OIfolvC23YvKEIZ7z5NoaWlJSqXXb16Var/Ty6XK+pXuX6wUdlxDCbKeMdvapxBnJOTE2s+ISuf\nEZYthM3Bm7PGMJN+/fqJugFgKhcKp1laWsossxHlU0kzbfHBHsQvYA6HI4qU+/r6ytV8sra2FqWl\npYwjNcnq8FpdXR1t27ZFamqq1FdBWXJycgCAdQAHZRAWLlJSUuQeYEO8Rg2HwwFQVwOVbQQrAOjQ\noYPiiRRjZ2cnM+AmHvjJz88XnXPhg+T169dyN/OSVXNIHI/HE1Whb2j0X+F8LpcrVY28V69euHTp\nEh48eIB58+YB+F8zJGEw2sPDQ9RXk/CFt/4yjRUREYHVq1dLdC7NRvx+qq+h2gnNeQ6aQlaQR/yr\ndv2BGIS/Jzw8/P/ZO/P4mM7vj3+SkUVWEQmxhAqtUCWhobZESxHKl6KWii2VovlWLS0/a1Faam+/\nxJqoPSgR0qqIBI1YEiGxNmTfRyaLiMQkvz/yuvd7Z83MnTsz4Xver1dfr9S9c+9zn+U85znPec7h\nNXa0oVGjRmpj0DDllA8Mzew229raqv3Opk2bwsbGBmVlZSp3qBs1alRnVnEGTetUncxgPCFU1Tvf\nfsTILEC93BZKZtUlG7llyMnJUSrv6xpbzLxSl3zkyiduPXDhK2OB2uNj8+bN06ifq5MlupShPjBi\nxAjcu3cPMTExCgHLGaWzf//+Oi8kVY0z7hjTZCzKjzGgdswEBgZqtIEi35bMiZANGzbg6tWruHr1\nKlq3bg0PDw94eHigR48erGLOpVu3bvDx8cGlS5cQEhKCAwcOwN3dHV27doWHhwe8vLx0zghqSNTV\nPfMd8vNuZmYm+7c+dT9VCKXPMGhSB4DyPlgXjJzR9EibEHJF3fdwj6Gqeg/XQ0x+vuaDrsbI48eP\n4+eff5bxZlbF8+fPVV7jq0cx+kZdSYPatGmj1NNcX9TlQcW0o9D6SV08f/6c3aA1hnzgUt/GgrYI\ntfbRlSFDhuDUqVPIy8tDfHy8jPH24sWLqKyshImJiUx2ckB4O4YyhFjj62pn4KLpfCLfpjNmzEB0\ndDSKioowb9482NrawsPDA127dkX37t3Z9bS+EIlEGDp0KEJCQnDu3DnMnj2bHRcvX75kExoOGzaM\nVzI3gj8GMUZyjxVwlV9G2dIWVQKzLgWZiSWgbjKXh7lXn7GNtCkPA7cOmAFf1/cLtYCoqy647+F+\nG5+JRD7zsCrKy8vZv+sqHzfeYnl5uVJjZFJSEl6+fAkLCwt2B5SZnDw9PVljpJ+fH54+fcruAPGJ\nF5mdnc1m+XVxccHEiRPRpUsXODs7w8LCghWKo0ePRn5+vtrdpLraWJ9toAt8BT+f7+GrcGlaRvld\nVaZvajL+GjZsiLKyMpn+zEWbJA+allcTT175b9K1H2k6XoXK7qiNbFRV93U9Q9O5Ql7+KEMXGbtg\nwQIUFRXBwcEBEydOhKenJ1xcXGBpacm2dWBgIBITE9XKEr5lqC8MGjQImzZtQkVFBf7880+MGTMG\nQG0Ga2axKsRRHE3GD98EBsuWLcODBw/YoPh9+/ZFq1atYG1tzXrL7dmzByEhIUoNGePHj4eLiwtC\nQkKQlJSEtLQ0pKWl4dSpUzA1NUXv3r0xZ84cBe+jH3/8EYcOHcKJEyeQlZWFpKQkJCUl4cCBA7C0\ntMTw4cMxa9YsjTdGjAmfkwrc/myMDLNC6TMMmvY/eTmvD4SQK5rMba/LYvLOnTv46aefUFNTg3bt\n2mH8+PFwd3dHkyZNYGFhARMTE9TU1LBGNXUGS77fzKwh6mobQ8R45cJX59K3nmts+cDldR4LQq59\ndMXT05NNDnbu3DmZtRxzRNvDw0MhEa3QdgxlCLHG19XOwEXTOVV+XDZv3hwHDhzArl27cOHCBZSW\nliImJoZNbteyZUsEBAToNXHMiBEjEBISgsLCQsTGxrKnmJgYl0CtMZIwLAYxRnKPonEza3Mntk2b\nNskcReBDXTsrjIKnzeTBlFHVolEIGAHy4YcfYt26dbx/X9f3a7LzpAl11QX3Pdy6ZurS3d0dv/32\nmyBlkX+2JuVTp+gzx3ArKyuRlJTETk7W1tasiznj/ZiQkACpVMoe6ebeow2nT59GZWUlrK2tERwc\nrHLnS4gFvz7bwBhYWVmhtLQUkyZNYjPX1zeYOtdk/Gm6KDA2uvYj+fGqyjtNKCOXNrKRb90zsq4u\n+cP9JlXv4itjIyMjIRaLYWpqih07dqhMzKJJvfItQ33BxsYGAwYMQHh4OM6cOcMaIxmvSBcXF5Vh\nF+oDmZmZiI2NBVCbsVtVwPW6FjU+Pj7w8fFBUVER7ty5g9u3b+Pq1at48uQJLl++jNu3b+PgwYMy\nmXIbNGgAPz8/+Pn5IT09HXfv3kVCQgIuX74MsViMY8eO4e7duwgODtZrPDR16HNhyh2Xz58/N7jX\nr1D6jCFwcHBAbm6uQjx4VbzuckUZzHFyZbFj6+L48eOoqalB8+bNsW/fPqUGBX2HwahrE5RBn+sg\nIdG3nisvH/SBoY+w6gLfshpy7VMXjNdjcHAwIiMj8d1338Hc3Bz5+flsCAwmdisXoe0YyhBija+r\nnUEoWrRogRUrVmDx4sW4d+8e7ty5gxs3buD69evIzMzE0qVLIZFIMH78eL2839XVFZ6enoiPj8eZ\nM2dYYyQTo9jT01NleCtCf+h9u6SmpobNwGZmZiYTc8TFxYXd+eDG3+OLulgqUqkUGRkZAKCws6EO\nJuaGqkCuQsAc/+P7DmYRUVpaqjbmh7KArXxIT09XO/kw7WBiYiKTrIP5zqdPnwrubWdjY8MaNOoK\nIs5ct7OzU/AicHFxgYuLC4DaGBuMV6Snpye76GrWrBlatmyJFy9eIDk5mY3FwTdeJBPk9/3331c5\nGefk5AgyIeuzDYwB8z1840AaAu74VBUXDgDy8/PZnTmmD9ZXdO1HXMOHOrktlMyqSzZyy8C37pnf\n1SUfufKJWw9c+MpYZg5p166dSkNkVVWV2iQIupahPsEELGcCwFdUVOCvv/4CUBsLkK/HoiHg6gPq\n4lrKB4lXhYODA7y9vfH111/j2LFj+OGHH2BqaorS0lIcOnRI5e9cXV0xdOhQLFmyBOfOncO4ceMA\n1MaT0iYZoKZwk2SoM7Sqk6W6wo2jpk/dTxVC6TOGgDHAaWowexPkijy6GCOZtY+3t7dKzyYmGYu+\nYOYudXOxJtfrC/rWc21sbNjEUXzkg6rj5Vzy8/P5FU5A9C2LDbn20QTG2FhWVsbObX/88Qeqq6th\nbm6uNCaj0HYMZQixxtfVziA0ZmZm6NKlCyZNmoStW7fi9OnTrBFw165dbEx5fcDohZcvX0ZxcTFy\nc3PZdbwxYkQTBjBGHjx4kD0SNXToUJnJ2tbWls2cpy6LqaZERUWpvBYXF8cK/q5du2r8TCaIaW5u\nrkxSE03gGqbUfRvzjszMTLVByFXB/R51dXDx4kWtn62MiooKtZnnLl26BKA2lhHXo4D5Tu6CUChM\nTEzYerh8+bLKoyxVVVXsJKOqHzCej/Hx8QpHtOXvuXnzJttmfI5oA/89HqJO+DLHBHRFn23AwI2r\nqO/dXSYQfnx8PBvftb7B7WeRkZEq7+Ne00ZGGQNd+1Hnzp1ZBY6RF8pQd01b1MlG5j02NjYqjXh1\nwbRZRUUFrl69qvI+pp1FIpHMSQEufGUsI0vUjbsLFy5otEDjWwZ9wsgWTRVVJukYULvzffHiRTx/\n/hwmJib1/igOt41UfW9OTo5WCfm4DBo0iI03qKmRQSQSYcaMGez/C7VZwIUbykdVwgKpVKp19ltt\n6Nq1K7sQ55MtnjlCz3dBJaQ+o28YecmNs6mO+ihXdKGmpobVPfjMHUwiC0Pof6pg+s6tW7dUGpWL\ni4vZ2Oh80XVcaIoh9FwvLy8Atf1V22PhTMw9dQlZGK94Y6JvWSzE2kdbnUAdb731Fnu6jcmqzby/\nT58+Sk/wCG3HUIYQa3xd7Qz6pmnTpvj0008B1G7uyCfNVAfTBzSt+48++gg2NjaorKzEn3/+ifDw\ncFRXV8PKykptklFCf+jNGFlTU4PDhw9j27ZtAGqTJHCVWIaJEycCqN0t3bRpk9qYNVzvRmUkJSWx\nAoTLixcv2HI0atRIKzfqwYMHs4G516xZozbIsfxA4Bpe1e0c+fr6srtsq1atqjOjmfzCoWPHjqwS\ntGfPHqVlvHXrllohpi3btm1T6hIeERGBpKQkAIpxF3r27MmWc/PmzXVmRsvOztZqV5PZ7SgsLMSu\nXbuU3rNjxw62fpn75WGMinfv3mV3S+QNjcz/nzx5khWafJPXMDtWt2/fVhoAPSUlBcHBwbyeLY++\n2wConZwZj6OCggJ+BdWQsWPHwtzcHFKpFMuWLavzGJExdvbd3d3ZIOd79+5VWid5eXnYu3cvgNqM\nc+7u7gYto7bo2o8cHR3ZDK9Hjx5V+vvU1FSEhoYKVmZVsjEhIYE1EPr6+vI+dtq3b19Wjv/yyy9K\nd/MfPXqEEydOAKjNkstkLVQGHxnLePKnpqYqrdP8/Hxs3bpVwy/iVwZ9wszF2sgVRs6fO3cOp06d\nAlArq1V5pdYXuAmTlBnlX716hR9++EGlAp6fn69WHlZUVLB6CTf5SHp6utqFHdfopGnSEm1wcXFh\nF8GqDIHBwcHIy8sT/N0MNjY2rIfE2bNnER0drfJeZfXPp5/KI5Q+o288PDwA1OopmoYCqm9yRRfS\n0tLYuHFMXWgDM85jY2OV6lo3btxQmvlVSJi+XllZqXJ+2LJli85ehkKMC00whJ772WefAag9Qrx6\n9Wq1hhD5a4zx6vHjx0o91cRiscoxb0j0LYuFWPsI3ad8fX0BAFevXkVCQgLrlazsiDaDkHYMZQix\nxtfVziAEdT2T0S1EIpFWITq07QOWlpbsaZOwsDCcPXsWADBw4MDXKjnfm4ROxsiKigo2HXxpaSm7\nS79//36MHTsWGzZsgFQqhb29PX7++Wc4OzsrPGPAgAH4+OOPAQBHjhxBQEAAoqKikJeXxz4zNjYW\n27Ztw4gRI9QeJ3JxccHKlSuxe/duZGRkQCKRIC4uDl9++SXrDh4YGCjjel4XDRs2xJIlSwDUKh2f\nf/45jh8/jvT0dJSUlCA7OxuXLl3CkiVL8Ouvv8r8lgk0D9QK7LS0NLx8+RJSqVRmcmrYsCGWLVsG\nU1NTpKenY8KECThw4ABSUlJQUlICsViMe/fuITQ0FF9++SX8/PwUyvnNN98AqB2M06dPx6VLl1BU\nVIScnBwcPnwY33zzjWBHP52cnPD06VMEBAQgLi4OEokEGRkZ2L17N1auXMl++9ixY2V+Z2Jigu+/\n/x4WFhYoKiqCn58fdu7ciQcPHqC4uBhFRUV4/PgxTp8+jblz52LkyJFaxajx9vZmd3/27NmDH374\nAY8ePUJxcTEePnyI1atXIyQkBADQu3dvlVn2GKNiVVUVCgsLYWtri3feeUfpPUwGXWtra4V7NIXp\n/yUlJfjqq69w7do1PHv2DFlZWTh8+DD8/f1hZWUliJeAvtsAqO3PTFa3o0eP4tGjR3jx4oVCvxeC\npk2bYu7cuQBqE1NMmDABJ06cQFpaGkpKSlBYWIjExET89ttvmDx5Mr777jtB368p3377LUxNTSEW\nizFt2jT8+eefEIvFKCwsREREBKZPn46ioiKIRCIsWLDAKGXUBiH60b///W+YmZmhoqICAQEBOHv2\nLFsn4eHhCAgIYJUnXbG1tUVFRYWMbMzNzcXRo0cxZ84cVFdXw87ODv7+/rzfYW5uzsrhJ0+eYPr0\n6YiJiWHfdfz4ccycOROVlZVo2LAh/v3vf6t8Fl8Z279/f4hEIkilUsyZMwdRUVEoLCxEXl4ewsLC\nMGXKFJSWlmoUqoRvGfQJY6TPysrCsWPH8OzZM1auqDKgDRs2DCKRCGKxmPXsESJxjb7p2LEju1jb\nsGEDDh8+jIyMDBQVFeHvv//GjBkzcO3aNZXZlq9duwZfX1+sWrUKFy9eZHWW3NxcXL58GbNnz2YX\ngMwcBNRumIwYMQLbtm3DtWvXkJubi5KSEmRkZOD06dOsfLK0tNQ4K6e2MMaRS5cu4ccff2Tl+f37\n97F69Wps376dNbzri9mzZ6N58+aoqanBt99+i/Xr1+Pu3buQSCR49uwZEhMTERQUhAkTJij8lvGu\nuXTpEmJjY1FaWsr2U02TxAilz+gbJvSSVCrV6JhifZQrupCcnAyg1junc+fOWv9+4MCBAGoNGXPm\nzGENM6mpqdi1a5fSBFNC07FjRzZL8KlTp9jEWcXFxbh//z6WLFmCsLAwnTdwhBgXmmAIPbdz585s\nXLsLFy7giy++wMWLF5Gfn4+SkhI8ffoUp0+fRkBAAK5cuSLz2wEDBrCxBufOnYvo6GhIJBLk5+fj\n3LlzmDJlilbJCvWJPmWxEGsfPjqBOgYNGgSRSISqqiosW7YMQK2xq3fv3ip/I6QdQxW6rvGFsDPo\nypgxYzBz5kyEhobi/v37ePbsGSQSCe7fv4/Nmzfj+PHjAGo36rUxCjJ9IDExERcuXEBxcXGdfeBf\n//oXgNoQX4xx+HXQC99UdEpgU1fCCJFIBG9vbyxYsEBtKvjvv/8eNjY2OHnyJOLj49UeBVBnSJw7\ndy527NjB/ifPxIkTee0e9+/fHytXrsTq1auRl5eHH3/8Uel9TCwlBiYDZnBwMK5evapwdI85AgzU\nuoCvX78eK1asgFgsxubNm7F582al71EmmHv27Il58+Zh48aNSE9Px/z582WuOzs7Y9myZfjyyy81\n+mZ1tGrVCtOnT8e6deswe/ZshetOTk7YtGmT0sm0Q4cO+M9//oOFCxeioKAAO3fuxM6dO5W+RyQS\naZUFzsTEBGvWrMH8+fMRHx+P33//Hb///rvCfd26dcMPP/yg8jnNmjVDixYt2KM3np6eCuVwcnKC\nq6srG3vNw8ODt0dVt27dMHr0aBw/fhwPHjzAV199JXPd1tYWP/30E5YsWSJIIHN9tgHDuHHjsGbN\nGty7d09hsSaEUstl9OjRMDU1xc8//4zMzEysXbtW5b18EgwJQdeuXbFy5UqsXLkSOTk5WLx4scI9\n5ubmWLlyJbp06WKEEmqPrv2obdu2WL16NRYvXozCwkIsX75c5rqtrS02btyIyZMn61xWa2trLFiw\nAIsWLVKQjcz1jRs36mz8HDJkCAoKCvDLL7/gn3/+YQ3lXGxtbbFhwwaZuHTy8JWxrq6umD17NrZu\n3YqMjAwFw7a5uTlWrVqFo0ePshspQpdBn/Tp04eVzevWrZMJxD5s2DCsWLFC4TeOjo7o06cP691m\nY2OD/v37G6rIvBGJRFi+fDkCAwNRXl6ODRs2YMOGDTL3TJo0CZaWlirjCpaVleH06dM4ffq0yvdM\nnjxZwZCVk5ODkJAQ1tglj4WFBVavXi1zjE9Ipk2bhr///hsPHz7E8ePH2UUKw/jx42FjY6NX7yE7\nOzvs2LED33zzDVJSUnD06FEcPXpU4T5lcRrHjBmD06dPo6SkBIGBgTLXli1bptGiRyh9Rt+4urqi\nffv2ePz4MWJjY+s8Ll4f5YouMMdpe/XqxcurZtiwYbh06RJiYmJw/fp1XL9+Xea6s7Mz1q1bpzKB\nlVAsXrwYeXl5SEhIwLlz5xSOxw4ePBitWrXSacwJMS40xRB67pw5c1BTU4MjR47gzp07+Pbbb5Xe\nJ5+Mw97eHosWLcLy5cuRm5uLefPmyVx3cnLCli1b6oVBXp+yWIi1Dx+dQB2Ojo7w8vJCbGwscnJy\nANQaG7nhp5QhlB1DFUKs8XW1M+hKTU0Nbty4wZ44VMbbb7+NhQsXavXcoUOHYt++fSgtLVX47Rdf\nfIGAgACF37i7K5BoOAAAIABJREFUu7PzFgC0bt36tVl7vYkIlk3b3Nwc1tbWsLe3R/v27dGpUycM\nGDBAIw8MMzMz/N///R9GjhyJ33//HQkJCcjLy8PLly9hbW2Nli1bolu3bvDx8VEZYwuoHTz79u1D\nSEgIIiMjkZOTA3Nzc7i7u2PcuHE67eL7+vqie/fuOHLkCGJjY5GdnY2qqio4OjqiZcuW8Pb2Znc4\nucyaNQvOzs6IiIjA06dPUV5ertJS7+3tjdOnT+PkyZP4+++/8eTJE5SWlsLMzAxOTk5wd3eHt7c3\nm/1JnvHjx8Pd3R379+/HnTt3UF5eDmdnZ/Tt2xfTpk0TLJs2UGsAatOmDQ4ePIjk5GSUlZXB2dkZ\nPj4+mDp1qtrjW126dMHJkycRFhaGmJgY/PPPPyguLoZIJIKjoyPat2+Pfv36wdvbW2uByCwgIiIi\nEBERgYcPH6KkpAR2dnZ455134OvriyFDhtSZuKB79+6sMVJVLMju3buzxkhuYiY+LFy4EJ07d8aJ\nEyfw6NEj1NTUwNnZGb169cLnn38ueEITfbYBAIwaNQpWVlY4efIk/vnnH5SVlek1TtCoUaPQt29f\nhIaGIi4uDhkZGXj+/DksLCzQrFkzdOrUCT4+PqyniTEYPHgwOnfujEOHDuHatWvs0ZamTZvigw8+\nwMSJE+t94hp5dO1HH330Edq0aYO9e/fi5s2bKCkpgaOjI3r27IkpU6YI6v3k7e2NPXv2ICQkBLdv\n30ZxcTEaN26MXr16Yfr06VolNlOHn58fPvjgAxw+fBg3b95EYWEhRCIRWrRogb59+2LixIkaJTrg\nK2P9/Pzw1ltv4dChQ7h37x47T73//vuYOHEi3NzclBpVhCyDvrC0tMTu3buxe/duXL9+HXl5eRod\nrxs+fDhrjBw0aBAsLS31XVRB8PT0xP79+7Fnzx52fNjb26Njx46szAsKClL624EDB8LBwQHXr19H\nUlIS8vPzUVRUxCYG6dKlC0aOHKmgUwUGBsLLyws3btzAw4cPIRaLIZFIYGFhgVatWqFHjx4YM2aM\nXmVVw4YNsXPnTuzfvx8XLlxATk4OLC0t8c4772DcuHHw9vZW+d1C0rx5cxw6dAjh4eH466+/8OjR\nI1afcHZ2hqenp9LkQm5ubmz5k5KSUFRUpDLuozqE0mf0zahRo/DTTz8hIiICM2fOrPP++iZX+PLi\nxQs2hMLIkSN5PcPU1BTr16/HsWPHcObMGaSmpkIkEsHFxQX9+vXD559/zisxjrY0bNgQO3bswLFj\nxxAeHo60tDQ0aNAAbdu2xYgRIzBixAidx5xQ40JT9K3nikQizJ8/H76+vjh+/Dji4+NRUFAAU1NT\nODs7w83NDQMGDFCqdw4ZMgRNmzZFcHAwkpKSUFFRwY6BKVOmGKTNNUHfsljXtQ9fnUAdvr6+MjE7\nmaPb6hDKjqEOIdb4utoZdOG3335jE8NmZmZCLBbj5cuXrN1owIABGDZsWJ2GX3kcHR2xb98+7N27\nF/Hx8RCLxWwsXnWMGDECP//8MwDyijQ2JhKJRDjfeCOQnZ3NdqKgoCDeSUQIgiCIN4ugoCDs2rUL\nzZo145WIgngziIuLY72wQkJC2JhdBEHoTllZGQYPHoyKigrs2bNHqYfJihUrEB4eDk9PT5Ueaq8b\nERERWLp0KZo2bYozZ87w8q4jCIIgDM+pU6ewevVqiEQinD17Vm8nPYi6oZmTIAiCIIg3FiYBhJub\nGxkiCUJgbGxs2IQeR44cMXJpDAfjYT516lQyRBIEQbxGhIWFAagNsUGGSONCsydBEARBEG8k+fn5\nbLZ0vkcpCYJQD3O0NDIyUmUM0zeJq1evIikpCW3atCG5QhAE8Rpx79493LlzB8B/k9kQxoOMkQRB\nEARBvDFUV1dDKpUiLS0NS5cuRVVVFezt7XklsCMIom5sbW0xffp0VFdX6zWxUH2B+cbAwEDeyQsJ\ngiAIwyCVSlFVVYWHDx/i+++/B1CbSLNv375GLhkhWAIbgiAIgiAIY7Ny5UqFGKFz5szhle2WIAjN\nGD9+vELm4DeV4OBgYxeBIAiC0JCZM2fKZDk3NTXFggULKMRGPYCMkQRBEARBvHFYWFigTZs28PPz\nU5r1mCAIgiAIgvjfwMrKCu3atcOMGTPw/vvvG7s4BN6AbNoEQRAEQRAEQRAEQRAEQbwekG8qQRAE\nQRAEQRAEQRAEQRAGgYyRBEEQBEEQBEEQBEEQBEEYBDJGEgRBEARBEARBEARBEARhEMgYSRAEQRAE\nQRAEQRAEQRCEQSBjJEEQBEEQBEEQBEEQBEEQBqGBLj+OjIxEaGgoHj16hLKyMlRXV6N9+/Y4fPiw\nUOWr9wQFBWHXrl1o1qwZwsPDjV0cnXn48CE+//xzNG3aFL///jvMzMwM9u7u3bsDAJYtW4bhw4cr\nvaeuPrdw4UJcuHAB8+fPx7hx4wxWdlW8DmMkLCwMK1euVHpNJBLBzs4Obdu2xYcffoh//etfsLCw\nUHrvmzYW+KLPejBUHasbi69LO6sr54oVKxAeHg5PT0/s3LnTSCWsf2gig//XoDqpX+hT/gghF14X\n+VjfWbJkCf744w+l1xo0aAAHBwd06tQJn376KT744AOVz7l27Rq++uorAEBERAScnJz0Ut7XAU30\ne/l6P3PmDFxcXFQ+84cffsDvv/8OW1tbREVF6aXc2lDf1gB1QfKilte933F5+fIlYmNjERsbi+Tk\nZGRlZaG8vBw2NjZwc3ND3759MXLkSNjY2NT5rJiYGJw8eRL3799HaWkpGjduDC8vL0yYMAHt2rUz\nwNcYH9LBZNFXn8jOzta4fi9cuIBGjRrxfpc8vD0jQ0ND8d133+HmzZsoKSlBdXW1YIWqDwQFBaF7\n9+4YNmyYsYtiULZs2YKamhpMnTrVoIZITdCkz33xxRcwMTHB7t27UVpaaoRS/pc3YYxIpVIUFRXh\n1q1bWL9+PSZOnIi8vDxjF4t4w/hflbf/q99NEAShjkePHqm89urVKxQUFODSpUsIDAzE7t2763xO\n48aN/6cNkYBm+r18vV+6dEntM5n727dvL0gZdaU+rQEIzXnd+x2XgQMHYv78+Thx4gQePHiA0tJS\nSKVSFBcXIz4+Hlu2bMHYsWORlJSk9jlr167F3LlzceXKFYjFYlRWViI3NxdhYWHw8/P7nzZe/6/y\npvYJ3p6Re/fuBQB4eHjg22+/RbNmzSASiWBqSie/X1f+/vtvXL9+Hc2aNauXuw+a9Dk3Nzd8+OGH\niIyMRHBwMAIDA41V3NdyjGzZsgUeHh7s/5eXlyMjIwOHDx/GxYsXkZqaioULF2Lv3r0wMTExYkkJ\ngiAIgnjTePnyJdLS0gAA48aNw6xZs9hrr169QmFhIS5evIhdu3ZBKpVi165dGDJkCFq0aKHwrAcP\nHgAA3n77bcMUvp6iiX7PrXeRSASpVIro6GiMHz9e6f3V1dVISUkBALzzzjv6KbiW1Kc1AKEZb0K/\n41JeXg4zMzN4e3vDx8cHHTt2RKNGjVBQUIBz587hwIEDyM/PR2BgII4ePQpnZ2eFZ+zfvx8nTpwA\nAPj4+GD69Olo1qwZHjx4gM2bNyMlJQWrVq1Cy5Yt0bVrV0N/ImEEDNkn5G0B8lhZWen0fHl4WUWK\niopQUFAAAJg4cSLat28PW1tbWFlZwdLSUtAC1ncCAgJw8+bN19YazWXPnj0AgNGjR9c7r0ht+hwz\ngR09ehRlZWUGLyvw+o4RS0tLWFlZsf81adIEHh4eWLduHfr37w8AuHv3Lu7cuaPw2zdpLOjCm14P\nr8v3vS7lJAhCc2hcv/n8888/kEqlAGo9n7g6CRM2xt/fHxMnTgRQe4IjLi5O6bPWrFmDmzdv4pdf\nfjFY+esjmuj33HofPHgwACAhIQElJSVK709LS0NFRQWA+mXsrQ9rAE0hefbm9DuG0aNHIzw8HD/+\n+CMGDx4MV1dX2NnZwc3NDYGBgVixYgUAoLS0lB2XXIqKirBr1y4AQM+ePbF+/Xq4u7vDwcEBH3zw\nAYKCguDo6AipVIrNmzcb8tMII2HoPiFvC5D/T2h4GSMZIQAAtra2ghWGMB5PnjxBYmIiTExMMGjQ\nIGMXRwFt+lyXLl3QrFkzVFRUICIiQt9FU8qbOEZGjhzJ/n3v3j0jloQgCIIgiDcR7pHNt956S+V9\nTCwxAJBIJHot0+uMpvo9t94nTZoES0tLSKVSXL16Ven9jNcpUL881OrDGoDQnDel3zEsXLgQjo6O\nKq8PGTIEbm5uAGo9luU5c+YMXrx4AQCYPXu2wim0Ro0aYdKkSQCApKQk3L9/X6iiE/WUN71PaHVM\nW1mii4CAAIV7mjdvjhkzZiA+Ph7Dhg1jdwGUoS4wqXww8cePHyMkJAS3bt2CRCJBo0aN0KNHD0yf\nPh2tWrVS+Q6pVIo///wTFy5cwP379yGRSGBtbY2mTZvCw8MDH3/8Md577z0AwK1bt2S+KTc3V0bh\nASAT3FyT4MNFRUU4ePAgrly5guzsbLx69QpOTk54//33MX78eFYoKUOoOqiLkydPAqg9UqwuaDCg\nXX1ySUlJwb59+3Djxg026Grv3r0xZcoUle/Ups8xmJiYYPDgwQgODsbJkycxZswYjepAGdq2HZ/y\nqqOmpgbJycmIiYnBzZs3kZqaiufPn8PKygotW7ZE7969MW7cOEEDyaqiWbNm7N+VlZUK17VJGKJL\nP+Y7nuTLkJycjP379yMxMRElJSVo3rw5hgwZgokTJ7LeqyUlJTh8+DAiIyORnZ0Nc3NzdOvWDTNn\nzkTbtm2VvkddPdSX9uQzFhnqknmJiYkIDQ3FnTt3UFhYCBMTEzg4OMDJyQmenp748MMP0alTJwDa\ny1v5Nrx9+zaOHDmCO3fuQCwWo23btmxyKG0Cw8fHx+PAgQNITk5GaWkpnJ2d4ePjg6lTp8Le3l7p\nb3SZ47T9bgapVIrw8HD89ddfePz4MYqLi2FjY4N33nkHw4YNw+DBg9WGT9Cl3etCm7bRdRwIKU+E\nqJP6LpNUUVJSgsGDB6OyshKzZ8/G1KlT1d4/YsQIZGVlYfDgwVi9ejX770K3J99xLbR85SMXNEHX\ncayKyspKeHt7o6qqCv7+/vjyyy/VlmHs2LFIS0vDkCFDsGrVKt7fIzQPHz5k/1bXp7khb5S1xx9/\n/IElS5bA1NQU0dHRaNiwIXuN0dUaNGiAy5cv4/nz5wgNDcXFixeRmZmJmpoadOzYEQEBAejWrZva\n8paXl+PcuXM4f/48MjIyIJFIYG9vD09PT/j5+aFDhw5Kf8eUz8TEBDExMezYjomJQW5uLhwcHNCn\nTx/MnDmT7bNVVVU4c+YMwsPD8fTpU1RVVaFjx46YOXOmymN1mur3TL1bWVnBzc0NPXr0QHR0NC5d\nuoQhQ4Yo3P/48WMAgJmZmdayRx0xMTGYO3cugNpECU+fPsXx48eRmJiIZ8+ewczMDB07dsT06dMV\n5k1A2DWAJjx69Aj79u1DfHw8SktL4ejoiF69erFziLYJAYWSywx85Y2h1p/1pd8ZEjc3N6SkpKCw\nsFDh2pUrVwAALVu2hLu7u9LfDxw4kPWAi4mJUXmfOuqLHqZPvZRBV5libAzVJ4yFTtm0Dcn58+ex\nYsUKGSNIQUEBwsPDER0djV27dinNIpSTk4N58+YpBMeVSCSQSCR4+PAhwsPD6wyWy5ebN29i/vz5\nCkcFsrKykJWVhTNnzuDrr7/GhAkT6nwW3zrQhMjISABAr1691N7Htz4jIyOxePFivHr1iv233Nxc\nnDhxAufPnxf8CE3v3r0RHByMx48fIz09Ha6urlo/Q8i240tMTAzmzZun8O+lpaW4f/8+7t+/j99/\n/x1bt27V+w4hN3GNshgnmqJLPxaqTc6cOYPVq1ezR0MAIDU1Fdu3b0dCQgI2b96MvLw8fPXVV8jI\nyGDvqaioQFRUFOLi4rB7926tj4jUh/bU51jcv38/tm7dqvDvubm5yM3Nxd27d5GSkiLIMYLQ0FCs\nX79e58RQJ06cwE8//STznMzMTBw4cAB//vkntm/fjjZt2uhYWt3JycnB3LlzWUWcQSKRIC4uDnFx\ncYiIiMBPP/0ks+hmMKQMrqtthBwHusgTIerkdZZJdnZ26N27N6KiohAREaF20ZuYmIisrCwAUFgg\nCtmeuoxrIcuhL7mg6zhWh7m5Od5++20kJyfXeXohNDQUaWlpsLCwYLNN1xcY/dLZ2VltxtnExET2\nb09PT5XPcXV1VahL5lrr1q0RFxeHFStWKHhXxsfHY9asWQgKClIZgysxMRFLly5Fdna2zL8XFhbi\n/PnziIyMxNKlS5UmKWPK0KJFC1y/fh3Lly+XkSN5eXk4ceIEkpOTsXfvXhQUFOC7776T8QzjlnPv\n3r1KF6Ca6vfcpCAmJibo168foqOjERsbi8rKSpibm8vczxiR3nrrLTRoINxykhkbTZs2xf79+7F/\n/36Z65WVlbhx4wZu3bqFtWvX4qOPPlJ4hhBrAE2IiIjAihUrZOR2Tk4OTpw4gb/++gu//vqr1s8U\nSi4zZRFC3uhz/Vlf+p0hEYvFAKBUvjFebe+++67K3zdt2hROTk4oKCiQ2bzRhvqghxlKLxVCphgT\nQ/UJeaqqqgwStk+rUTx06FAMGDAAubm5GDt2LADFIJfaKk+akJGRgRUrVuDdd9/FtGnT8M4776Cy\nshIXL17E1q1bUVpaijVr1rAJQxhKSkoQEBCA7OxsiEQijBw5Er6+vnB1dYVUKkVaWhquXbsmYzjr\n2rUrYmJisHfvXgQHB6NZs2Y4duyYzHM1TUCSnp6OOXPmoKKiAnZ2dpg1axZ69+4NCwsL3L17F7/+\n+iuePHmCjRs3wtnZGQMGDBC8DjQtJxPfsGPHjirv41OfQO0RkSVLluDVq1dwdHREYGAgevToAQC4\ndu0afvnlFyxatEjpO/n2uQ4dOrCBkBMSErRWRPi2ndBjxMTEBN26dUP//v3RoUMHNGnSBDY2Nnj2\n7BkSExNx8OBBpKamYsGCBQgNDYWFhYVW36kNp06dAgA0aNBAqeKvCbr0Y6HGU0ZGBtasWYNu3brB\n398fbdu2RXFxMX777TecOnUK165dw6lTp3Dq1Cm8ePECS5cuRc+ePWFmZobY2Fj89NNPKC8vx48/\n/qj1eDN2e+oyFusiLS2NVbzff/99+Pn5oU2bNmjYsCEKCwuRlZWFS5cuoaqqiv0NX3mblpaGn3/+\nGZ07d4a/vz/eeecdvHz5kg1qrikZGRlYv349OnTogFmzZqFDhw4oKSnB+fPnsWfPHhQUFOCbb77B\nkSNHBG0Lbb+7rKwMM2fORGZmJuzt7TF16lT06dMHjRs3hkQiYZM5/P333/jhhx8UvCP02e7yaNI2\nQo0DXeSJEHXyJsgkX19fREVF4cmTJ3jw4IFKLy7muGPjxo3Rs2dPmWtCtaeu41rIfqUPuaDrONaE\nzp07Izk5We0xrZKSEjb+1Oeff46mTZtq/R59UVNTg3/++QeAeq/IjIwMHDlyBADQr18/pce5GSOH\nMgM9c+358+dYsGAB3nvvPUyaNAkdO3ZERUUFLly4gG3btkEqlWLfvn3YsmWLwjMSExMxa9YsvHz5\nEq1bt8bUqVPh4eEBc3Nz3Lt3D1u2bEF6ejpWr14Nd3d3BQ9ppgwvX77EwoUL8f7772Py5Mlwc3ND\nfn4+Nm3ahBs3buDBgwc4e/YsQkJC8OrVKyxbtgw9evRAdXU1zp49ix07dqCqqgr79+/H2rVrZd6h\nqX7PrXemvvr16wdTU1OUl5fj5s2bCsZMpvxCb5wyzy0sLMT+/fvRrl07fPHFF+jSpQtKS0sRGRnJ\nJi9as2YNevfurRCLXdc1gKblZAyRTk5OCAwMhJeXFwDg+vXr2LZtGxYuXMjr2ULIZaHkjT7Xn4bo\nd1KpFC9fvtS6bFwsLCwgEol0egaDWCxmN1LkTxHm5+ezx3GVJeTi0qJFCxQUFODp06e8ymFsPcyQ\neqkQMoWLIfuUIfsEw7p165CdnY0XL17A3NwcrVq1Qu/evfHZZ5/pRV/QyhgpEokUEnAwQS71SUFB\nAT744ANs3rxZpuHGjx/PBuu8c+cOUlNTZXaqf/nlF2RnZ8PExARr167Fhx9+KPNcR0dHeHp6yhyX\nY76Rawnm+31btmxBRUUFzM3NERQUhPbt27PXvL294eHhgSlTpiA9PR3r16+Ht7e3Sgs03zrQhISE\nBAC1gkmdWy+f+gSArVu3oqqqCpaWlti5cydat27NXvvkk0/QuXNnNhC5PHz7XMOGDdG2bVs8fvwY\n8fHxGDFihNr75eHbdkKPkX79+qFfv34K/96oUSO0bdsWgwYNwoQJE5CZmYk//vhD6++Up6KiAuXl\n5ez/l5eXIzMzE8eOHWN31ydOnMhbGOnSj4UaTwUFBejTpw82bNjAlqFRo0ZYsmQJnj59isTERKxf\nvx6WlpY4cOCAzPGCoUOHoqqqCqtXr+Y13gzdnvLoMhbrIjY2FlKpFI0bN8bWrVtl6r5Ro0Zo164d\nvL29ZX7DV96KxWJ07doV27dvl/mttkc6CgoK0L59ewQFBbGbBI0aNYK/vz9atGiBpUuXIiMjA8eO\nHWPjsQiBtt+9fft2ZGZmwsrKCnv27JHpc3Z2dpgyZQrc3d0xe/Zs/PHHH5gwYYLMwlOf7S6PJm0j\n1DjQRZ4IUSdvgkzq06cP7OzsUFJSgoiICKWLXqlUigsXLgAAPv74YwUFWqj21HVcC9mv9CEXdB3H\nmsB4ThQVFSEnJ0dp3e3atQvFxcVo0qQJpkyZotXz9U1GRgarg7Rs2VJGH5FKpRCLxbh69Sr27t2L\n0tJStG3bFkuWLFH6LMYbRlmfZq7l5uZi1KhRWLRokcxRVT8/Pzx+/BgRERFKvUwYg/TLly/h6emJ\nzZs3y8hwb29vdOjQASNHjkRlZSUOHTqEpUuXKi1DQUEBxo0bh/nz57PXGjVqhLVr12Lw4MF49eoV\n1q5di9atWyMkJETmSLq/vz8SExMRGxur4DEJaK7fc+udMQo5ODigc+fOSExMRHR0tIxRKD8/H0VF\nRTL3CwVTL1KpFH369MG6detY77gmTZrA398fNTU1CAoKQnFxMeLi4hR0C13XAJqwdetWSKVSWFtb\nY/fu3TKGAl9fX7z77ru851Uh5LJQ8kaf609D9Lvbt28rrEu1JSgoqM5wDZry66+/sp6Ao0ePlrnG\n9c5u3Lix2uc4ODgAAIqLi3mVw9h6mCH1UiFkChdD9ilD9gkG7gZwZWUlUlJSkJKSgmPHjmHp0qWC\n5xbhlcDGGMyfP1+pBfmTTz5h/05OTmb/LisrY+Nv+Pr6KhjOuAi128Hl2bNnuHz5MoBaYcNdpDDY\n2dkhMDAQQK0SztyvCm3rQFMYC7q9vb3KZCt861MsFrMBej/77DMZYcPQpk0b1otQSFq2bAkAWntL\n6aPt9IWVlRXbFtevX9f5eV9//TU7QfXr1w+DBw+Gv78/zp8/Dzc3NyxdupT9br7w6cdCt8ncuXOV\nluHjjz8GUDthjRs3Tmmck4EDB7KLlqSkJJXv4IPQ7clF32OROabk4OBgELf+r7/+WpD3BAYGKvVW\nHjJkCBvb0piZLl+8eIHTp08DqF14qlL2e/Towca64QbtN4YM1rVttBkHfOSJEHXypsgkMzMz1mPz\nzz//VHo8+urVq6xC7Ovrq9XzAe3aU6hxrWs5hJYLuo5jTeEe41J2VDs9PR2hoaEAgJkzZ+rlNJMy\nlMWZVgY3BNDx48dl9JH+/ftj9OjR2LRpE6ytrfHll18iJCRE6QKtoKCAPQopPzZzcnJQWloKoNZQ\nuWDBAqUx85hjhTU1NQrXfvnlF5SUlMDR0RHr1q1TupnUtGlT1pBy+/ZtleXr1KkTvvnmG4XfN2rU\niI3V3aBBA6xdu1ZpbEzGKMM9dcCgiX4PyNY718jDLMhjYmJk6oFroBXSGPnixQtkZmYCqD2mv2bN\nGoVjugDw6aefsn8znnXy8F0DaEJhYSGbwX3cuHFKPZZcXV3x2Wef8Xq+rnJZaHmjr/Vnfel3huLP\nP/9EWFgYgFpj4AcffCBznfGAA1Cn1z1znfsbIdGnHmZIvVRImWIMDNUnTExM0LNnTyxbtgxHjhzB\nxYsXcfXqVRw9ehTTpk2Dubk5KioqsGzZMsTGxmr9fHW8FsEWWrRoobSjArUTrIODA4qKitiJHaid\n+BnlhzsYDMWdO3fYyUNd7IG+ffvCwsICL1++REJCgkojH5860BRml0mdosK3Pu/evcvWg4+Pj8r7\nfHx88Ntvv2n8XE1glDZtsywK3Xa6IpVKce7cOURFReHhw4eQSCRK3cPT0tL08n6G9PR0XL16FV5e\nXryDCvPtx0K2SYsWLVQe2WGUVwAKSgKDtbU1HBwc8OzZMzx79kxlWVRhrPbU91hkdu5TUlKwbds2\nTJo0SW+JeOzt7dG5c2edn2NpackeC1FG//79kZycjCdPnqCkpAR2dnY6v1NbEhMTUVFRAQDo1q2b\njKeQPO3bt8fNmzdljmgaWgZr2jZCjAO+8kSIOnmTZJKvry9OnjyJwsJC3LhxQ2FM/PHHHwBq4+up\n8tQToj2FGNdClEMfckHXcawpLVu2ROPGjfHs2TPcu3dPoW9u3rwZr169wttvv621biyRSNiwAQUF\nBbC3t0f79u3h4+MDLy8vpYvR58+fY/PmzejTp49aTxMGTWNd5eXl4eHDh3jx4oVSgyr3OfLHObkG\nkMmTJ6s9kQQATk5OMv9eVFSE8+fPAwCmTp2qdp5jkhWWlJSoLN+UKVNUOkUwv/Px8VEZk4+JM6nM\nKKuJfs8tj0gkkjlO3q9fP2zduhUFBQVITk5mjd3c8ivbiOHL48ePWbnq7++v8sRA48aNYWl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jaH/RIqr3WfSDu7Q71DjXBF9TeBoOTz16rbGVlJbw8AWiPCSAAAAADYB2Pn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TXw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\nxUghhBBCCCGEEEIIIYRd/B8Tzl8fmlGuZgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f2ef82d470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# IMPORTS\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.style as style\n",
    "from IPython.core.display import HTML\n",
    "\n",
    "# PLOTTING CONFIG\n",
    "%matplotlib inline\n",
    "style.use('fivethirtyeight')\n",
    "plt.rcParams[\"figure.figsize\"] = (14, 7)\n",
    "\n",
    "plt.figure(dpi=100)\n",
    "\n",
    "# PDF\n",
    "plt.bar(left=np.arange(20), \n",
    "        height=(stats.binom.pmf(np.arange(20), p=.5, n=20)), \n",
    "        width=.75,\n",
    "        alpha=0.75\n",
    "       )\n",
    "# CDF\n",
    "plt.plot(np.arange(20),\n",
    "         stats.binom.cdf(np.arange(20), p=.5, n=20),\n",
    "         color=\"#fc4f30\",\n",
    "        )\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=4.5, y=.7, s=\"pmf (normed)\", alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=14.5, y=.9, s=\"cdf\", alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "\n",
    "# TICKS\n",
    "plt.xticks(range(21)[::2])\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0.005, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# TITLE, SUBTITLE & FOOTER\n",
    "plt.text(x = -2.5, y = 1.25, s = \"Binomial Distribution - Overview\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -2.5, y = 1.1, \n",
    "         s = 'Depicted below are the normed probability mass function (pmf) and the cumulative density\\nfunction (cdf) of a Binomial distributed random variable $ y \\sim Binom(N, p) $, given $ N = 20$ and $p =0.5 $.',\n",
    "         fontsize = 19, alpha = .85)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "## P对结果的影响"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-2.5,0.32,'Depicted below are three Binomial distributed random variables with varying $p $. As one can see\\nthe parameter $p$ shifts and skews the distribution.')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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UknKih5ycHKxfvx5nzpzRK+CojVSBBUvSdgw2NjYmv3ZuY2ODXr164eTJkxqfl5eXY/Pm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\nHQwKRPr5+eH06dPYuHEjfv75Z/j4+GDHjh0a64h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399qoejm7P3mpqaUFZWdtF/dk1NDZ555hkAwNKlS1FS0vN45tGjRy8oto6ODnR1daG42JllP5tb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\nphm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MjFjfKKUihBBdRRKRok/539Ut1AcMWCOm4p+mFWNIrRYhRA9h/e11zKVvB7bpimFk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\nww47jKVLl+L3+/u24DuxntbZunXrmDZtWkpyOBAIoLVOeQ+edtpp3H333Zi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uXMlJJ53E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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f2f008f390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=100)\n",
    "\n",
    "# PDF P = .2\n",
    "plt.scatter(np.arange(21),\n",
    "            (stats.binom.pmf(np.arange(21), p=.2, n=20)),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(21),\n",
    "         (stats.binom.pmf(np.arange(21), p=.2, n=20)),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# PDF P = .5\n",
    "plt.scatter(np.arange(21),\n",
    "            (stats.binom.pmf(np.arange(21), p=.5, n=20)),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(21),\n",
    "         (stats.binom.pmf(np.arange(21), p=.5, n=20)),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# PDF P = .9\n",
    "plt.scatter(np.arange(21),\n",
    "            (stats.binom.pmf(np.arange(21), p=.9, n=20)),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(21),\n",
    "         (stats.binom.pmf(np.arange(21), p=.9, n=20)),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=3.5, y=.075, s=\"$p = 0.2$\", alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=9.5, y=.075, s=\"$p = 0.5$\", alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "plt.text(x=17.5, y=.075, s=\"$p = 0.9$\", alpha=.75, weight=\"bold\", color=\"#e5ae38\")\n",
    "\n",
    "# TICKS\n",
    "plt.xticks(range(21)[::2])\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# TITLE, SUBTITLE & FOOTER\n",
    "plt.text(x = -2.5, y = .37, s = \"Binomial Distribution - $p$\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -2.5, y = .32, \n",
    "         s = 'Depicted below are three Binomial distributed random variables with varying $p $. As one can see\\nthe parameter $p$ shifts and skews the distribution.',\n",
    "         fontsize = 19, alpha = .85)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "## N对结果的影响"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-2.5,0.27,'Depicted below are three Binomial distributed random variables with varying $N$. As one can see\\nthe parameter $N$ streches the distribution (the larger $N$ the flatter the distribution).')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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A1dUVxcXFKC0txfXr1xEYGChsLygoUJunkytsExERERGRtTFJQPLVV19V6wVWVVWFvLw8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\nAU5euR6U77g1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f2ed8e7588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=100)\n",
    "\n",
    "# PDF N = 10\n",
    "plt.scatter(np.arange(11),\n",
    "            (stats.binom.pmf(np.arange(11), p=.5, n=10)),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(11),\n",
    "         (stats.binom.pmf(np.arange(11), p=.5, n=10)),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# PDF N = 15\n",
    "plt.scatter(np.arange(16),\n",
    "            (stats.binom.pmf(np.arange(16), p=.5, n=15)),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(16),\n",
    "         (stats.binom.pmf(np.arange(16), p=.5, n=15)),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# PDF N = 20\n",
    "plt.scatter(np.arange(21),\n",
    "            (stats.binom.pmf(np.arange(21), p=.5, n=20)),\n",
    "            alpha=0.75,\n",
    "            s=100\n",
    "       )\n",
    "plt.plot(np.arange(21),\n",
    "         (stats.binom.pmf(np.arange(21), p=.5, n=20)),\n",
    "         alpha=0.75,\n",
    "        )\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=6, y=.225, s=\"$N = 10$\", alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=8.5, y=.2, s=\"$N = 15$\", alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "plt.text(x=11, y=.175, s=\"$N = 20$\", alpha=.75, weight=\"bold\", color=\"#e5ae38\")\n",
    "\n",
    "# TICKS\n",
    "plt.xticks(range(21)[::2])\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# TITLE, SUBTITLE & FOOTER\n",
    "plt.text(x = -2.5, y = .31, s = \"Binomial Distribution - $N$\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -2.5, y = .27, \n",
    "         s = 'Depicted below are three Binomial distributed random variables with varying $N$. As one can see\\nthe parameter $N$ streches the distribution (the larger $N$ the flatter the distribution).',\n",
    "         fontsize = 19, alpha = .85)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 随机样本（Random Variates）\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "\n",
      "[5 4 3 2 2 1 5 3 4 0]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import binom\n",
    "\n",
    "# draw a single sample\n",
    "np.random.seed(42)\n",
    "print(binom.rvs(p=0.3, n=10), end=\"\\n\\n\")\n",
    "\n",
    "# draw 10 samples\n",
    "print(binom.rvs(p=0.3, n=10, size=10), end=\"\\n\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probability Mass Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pmf(X=1) = 0.12106082100000018\n",
      "pmf(X=7) = 0.009001692000000002\n"
     ]
    },
    {
     "data": {
      "image/png": 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PBwAAbBBRyYZ7Y+FmJs/NZmpuMdeWvvf4K5ev56nX3sqZY+M5MDrc34AAAMCGcforG2qp\ntUyem835K98flElybSk5f2Uxk+dms9RaPwMCAAAbSlSyoc5eWMjU3OK6a6bmFvPixYVNmggAALiX\nRCUb6rmZ+duOUK52bSl5Znp+cwYCAADuKVHJhpq/MdhprQsDrgMAALY2UcmGGhsZ7MquowOuAwAA\ntjZRyYY6dWQse++wq/YOJacnxjZnIAAA4J4SlWyoE4dGc3TfnnXXHN23J8cPjm7SRAAAwL0kKtlQ\nQ1U5c2w8j+7fc9sRy71DyaP79+TMsfEMldNfAQBgJxjpewB2ngOjw3n5+IG8cGEhz87MZ+FGy+hI\n5fTEWI4fHBWUAACwg4hK7omhqpw8PJaTh713EgAAdjKnvwIAANCZqAQAAKAzUQkAAEBnohIAAIDO\nRCUAAACdiUoAAAA6E5UAAAB0JioBAADoTFQCAADQ2UjfAwDATnBzqeXsxYU8PzOf+RstYyOVU0fG\ncuLQaIaq+h4PAO4ZUQkA79EbCzczeW42U3OLubb0vcdfuXw9T732Vs4cG8+B0eH+BgSAe8jprwDw\nHiy1lslzszl/5fuDMkmuLSXnryxm8txsllrrZ0AAuMdEJQC8B2cvLGRqbnHdNVNzi3nx4sImTQQA\nm0tUAsB78NzM/G1HKFe7tpQ8Mz2/OQMBwCYbKCqr6vGq+lpVzVTVJ9Z4/ieq6rer6kZVfWzVcx+v\nqunlHx/fqMEBYCuYvzHYaa0LA64DgO3mjlFZVcNJPp3kZ5I8kuTnquqRVcu+keTPJ3lu1Wv3JflU\nko8keSzJp6rqA+99bADYGsZGBruy6+iA6wBguxnkSOVjSWZaa6+31t5OcibJyZULWmsXWmu/m2T1\nCUA/neTl1tpca+3bSV5O8vgGzA0AW8KpI2PZe4c/TfcOJacnxjZnIADYZIN8pMiDSb654v6l3Dry\nOIi1Xvvguy2enp4e8Mtuvq08Gzuf/Udf7L07++GW/NDY/Zl6690/MuSHxm7mj779B/HtHJy9R1/s\nPfq0VfffxMTEus8PEpVrna8z6BtD7uq1dxq2L9PT01t2NnY++4++2HuD+/zDa39O5d6h5Oi+PTlz\n7F/1OZV3wd6jL/YefdrO+2+QqLyU5OEV9x9KcnnAr38pyZ9c9drfHPC1ALAtHBgdzsvHD+SFCwt5\ndmY+CzdaRkcqpyfGcvzgaIbK+ykB2LkGicpXk0xU1eEkf5BkMsmpAb/+F5L81ysuzvNTSX7xrqcE\ngC1uqConD4/l5GHvnQRgd7njhXpaazeSPJFbgfjVJJ9trU1V1ZNVdSJJquqPV9WlJD+b5DNVNbX8\n2rkkfyO3wvTVJE8uPwYAAMAOMMiRyrTWXkry0qrHPrni9qu5dWrrWq99OsnT72FGAAAAtqhBPlIE\nAAAA1iQqAQAA6ExUAgAA0JmoBAAAoDNRCQAAQGeiEgAAgM5EJQAAAJ2JSgAAADoTlQAAAHQmKgEA\nAOhMVAIAANCZqAQAAKAzUQkAAEBnohIAAIDORCUAAACdiUoAAAA6E5UAAAB0JioBAADoTFQCAADQ\nmagEAACgM1EJAABAZ6ISAACAzkQlAAAAnYlKAAAAOhOVAAAAdCYqAQAA6ExUAgAA0JmoBAAAoDNR\nCQAAQGeiEgAAgM5EJQAAAJ2JSgAAADoTlQAAAHQmKgEAAOhMVAIAANCZqAQAAKAzUQkAAEBnohIA\nAIDORCUAAACdiUoAAAA6E5UAAAB0JioBAADoTFQCAADQmagEAACgM1EJAABAZ6ISAACAzkQlAAAA\nnYlKAAAAOhOVAAAAdCYqAQAA6GygqKyqx6vqa1U1U1WfWOP5+6vqHyw//1tVdWj58UNVtVBVX17+\n8T9v7PgAAAD0aeROC6pqOMmnk/xkkktJXq2qs621r6xY9gtJvt1aO1JVk0n+ZpI/t/zc11trP7rB\ncwMAALAFDHKk8rEkM62111trbyc5k+TkqjUnk/zK8u3PJfloVdXGjQkAAMBWVK219RdUfSzJ4621\nv7B8/+eTfKS19sSKNa8tr7m0fP/rST6S5H1JppL8P0neTPJfttb+ycqvf/Xq1e8OMD09vRG/JgAA\nADbIxMTEd28/8MADtx08vOPpr0nWOuK4ukTfbc0fJvlga222qh5N8vmqOtpae/NOw24l09PTW3Y2\ndj77j77Ye/TF3qMv9h592s77b5DTXy8leXjF/YeSXH63NVU1kuSBJHOtteuttdkkaa2dT/L1JP/G\nex0aAACArWGQqHw1yURVHa6q+5JMJjm7as3ZJB9fvv2xJF9srbWqOrB8oZ9U1Q8mmUjy+saMDgAA\nQN/uePpra+1GVT2R5AtJhpM83Vqbqqonk3yptXY2yS8n+ftVNZNkLrfCM0l+IsmTVXUjyc0kf6m1\nNncvfiEAAABsvkHeU5nW2ktJXlr12CdX3L6W5GfXeN2vJfm19zgjAAAAW9Qgp78CAADAmkQlAAAA\nnYlKAAAAOhOVAAAAdCYqAQAA6Gygq78CANxLN5dazl5cyPMz85l98/6MX7iSU0fGcuLQaIaq+h4P\ngHWISgCgV28s3MzkudlMzS3m2lKSDCdvXs8rl6/nqdfeyplj4zkwOtz3mAC8C6e/AgC9WWotk+dm\nc/7KO0H5PdeWkvNXFjN5bjZLrfUzIAB3JCoBgN6cvbCQqbnFdddMzS3mxYsLmzQRAHdLVAIAvXlu\nZv62I5SrXVtKnpme35yBALhrohIA6M38jcFOa10YcB0Am09UAgC9GRsZ7MquowOuA2DziUoAoDen\njoxl7x3+NrJ3KDk9MbY5AwFw10QlANCbE4dGc3TfnnXXHN23J8cPjm7SRADcLVEJAPRmqCpnjo3n\n0f17bjtiuXcoeXT/npw5Np6hcvorwFY10vcAW9XNpZazFxfy/Mx8Zt+8P+MXruTUkbGcODTqDzYA\n2EAHRofz8vEDeeHCQp6dmc/sd+Yz/v6xnJ4Yy/GD/twF2OpE5RreWLiZyXOzmZp754OYh5M3r+eV\ny9fz1Gtv5cyx8RwYHe57TADYMYaqcvLwWE4eHsv09HQmJj7Y90gADMjpr6sstZbJc7M5f2Xxts/N\nuraUnL+ymMlzs1lqLm0OAAAgKlc5e2EhU3OL666ZmlvMixcXNmkiAACArUtUrvLczPxtRyhXu7aU\nPDM9vzkDAQAAbGGicpX5G4Od1row4DoAAICdTFSuMjYy2BXmRgdcBwAAsJOJylVOHRm77XOyVts7\nlJyeGNucgQAAALYwUbnKiUOjObpvz7prju7bk+MHRzdpIgAAgK1LVK4yVJUzx8bz6P49tx2x3DuU\nPLp/T84cG/dBzAAAAElG+h5gKzowOpyXjx/ICxcW8uzMfGa/M5/x94/l9MRYjh8cFZQAAADLROW7\nGKrKycNjOXl4LNPT05mY+GDfIwEAAGw5Tn8FAACgM1EJAABAZ6ISAACAzkQlAAAAnYlKAAAAOhOV\nAAAAdCYqAQAA6ExUAgAA0JmoBAAAoDNRCQAAQGeiEgAAgM5G+h4AAID35uZSy9mLC3l+Zj7zN1rG\nRiqnjozlxKHRDFX1PR6ww4lKAIBt7I2Fm5k8N5upucVcW/re469cvp6nXnsrZ46N58DocH8DAjue\n018BALappdYyeW425698f1AmybWl5PyVxUyem81Sa/0MCOwKohIAYJs6e2EhU3OL666ZmlvMixcX\nNmkiYDcSlQAA29RzM/O3HaFc7dpS8sz0/OYMBOxKohIAYJuavzHYaa0LA64D6EJUAgBsU2Mjg13Z\ndXTAdQBdiEoAgG3q1JGx7L3D3+b2DiWnJ8Y2ZyBgVxKVAADb1IlDozm6b8+6a47u25PjB0c3aSJg\nNxKVAADb1FBVzhwbz6P799x2xHLvUPLo/j05c2w8Q+X013dzc6nlH/3+fP7sy1fyl373/vzZl6/k\n878/72NY4C6M9D0AAADdHRgdzsvHD+SFCwt5dmY+CzdaRkcqpyfGcvzgqKBcxxsLNzN5bjZTc+98\nzudw8ub1vHL5ep567a2cOTaeA6PDfY+5pd1cajl7cSHPz8xn/kbL2Ejl1JGxnDhk7w1i5fdv9s37\nM37hyrb8/olKAIBtbqgqJw+P5eRh750c1FJrmTw3m/NXbv+cz2tLyfkri5k8N5uXjx/YVn+530y3\nR/ktonwwO+kfNQY6/bWqHq+qr1XVTFV9Yo3n76+qf7D8/G9V1aEVz/3i8uNfq6qf3rjRAQCgm7MX\nFjI1d3tQrjQ1t5gXLy5s0kTby8ooX/1ZqSuj3GnEa9tp3787RmVVDSf5dJKfSfJIkp+rqkdWLfuF\nJN9urR1J8t8l+ZvLr30kyWSSo0keT/J3lr8eAAD05rmZ+dv+Mr/ataXkmen5zRlomxHl781O+/4N\ncqTysSQzrbXXW2tvJzmT5OSqNSeT/Mry7c8l+WhV1fLjZ1pr11trv59kZvnrAQBAb+ZvDHYEaGHA\ndbuNKH9vdtr3b5CofDDJN1fcv7T82JprWms3klxNMj7gawEAYFONjQz2PsnRAdftNqL8vdlp379B\nLtSz1v9Jq39177ZmkNd+1/T09ADj9GMrz8bOZ//RF3uPvth73Gt/6geG8pt1f95u7x6N91XLR993\nNdPT397EybaHdv2+DJISS9fn/f+8hu32/ZuYmFj3+UGi8lKSh1fcfyjJ5XdZc6mqRpI8kGRuwNcO\nPGxfpqent+xs7Hz2H32x9+iLvcdm+KEjLb86+8aaV399x4+M35e/+GMPuvrrGv7iyHzOv/LtdU/h\n3DuU/Ac/eiATh1yVeLWd9v0b5PTXV5NMVNXhqrovty68c3bVmrNJPr58+2NJvthaa8uPTy5fHfZw\nkokk/+fGjA4AAN0MVeXMsfE8un9P9q76G/HeoeTR/Xty5ti4oHwXJw6N5ui+PeuuObpvT44fHN2k\nibaXnfb9u+ORytbajap6IskXkgwnebq1NlVVTyb5UmvtbJJfTvL3q2omt45QTi6/dqqqPpvkK0lu\nJPnLrbWb9+jXAgAAAzswOpyXjx/ICxcW8uzMfGa/M5/x94/l9MRYjh/cXh8+v9neifK1Pqdy79Ct\nIBLl726nff+q9fzZJ1evXt3y7z51Gg59sv/oi71HX+w9+mLv3b2l1r4b5Qs3WkZHSpTfhZXfv+3y\njxoPPPDAbYMN8p5KAACA2wxV5eThsZw8vPXf97cVrfz+3fpHjQ/2PVIng7ynEgAAANYkKgEAAOhM\nVAIAANCZqAQAAKAzUQkAAEBnohIAAIDORCUAAACdiUoAAAA6E5UAAAB0JioBAADoTFQCAADQmagE\nAACgM1EJAABAZ6ISAACAzkQlAAAAnYlKAAAAOhOVAAAAdCYqAQAA6ExUAgAA0JmoBAAAoDNRCQAA\nQGeiEgAAgM5EJQAAAJ2JSgAAADoTlQAAAHRWrbVeB7h69Wq/AwAAADCQBx54oFY/5kglAAAAnYlK\nAAAAOuv99FcAAAC2L0cqAQAA6ExU3kFVPV5VX6uqmar6RN/zsDtU1cNV9RtV9dWqmqqqv9L3TOwu\nVTVcVb9TVS/2PQu7S1X9kar6XFX938u/B/67fc/E7lBV/+nyn7mvVdXzVbW375nYmarq6ar6VlW9\ntuKxfVX1clVNL//8gT5nvFuich1VNZzk00l+JskjSX6uqh7pdyp2iRtJ/lpr7YeT/FiSv2zvscn+\nSpKv9j0Eu9L/kOR/b639sST/duxDNkFVPZjkP07y4dbav5lkOMlkv1Oxg/29JI+veuwTSX69tTaR\n5NeX728bonJ9jyWZaa293lp7O8mZJCd7noldoLX2h621316+/Z3c+kvVg/1OxW5RVQ8l+dNJ/m7f\ns7C7VNW/lOQnkvxykrTW3m6t/b/9TsUuMpJktKpGkowludzzPOxQrbVXksytevhkkl9Zvv0rSf7M\npg71HonK9T2Y5Jsr7l+Kv9izyarqUJIPJfmtfidhF/nvk/znSZb6HoRd5weTvJHkf10+/frvVtUP\n9D0UO19r7Q+S/DdJvpHkD5Ncba39H/1OxS7zr7TW/jC5dXAhyb/c8zx3RVSu77YP9kzicrlsmqp6\nX5JfS/KftNbe7Hsedr6qOp7kW621833Pwq40kuTfSfI/tdY+lOT/yzY7BYztafn9ayeTHE7yryf5\ngao63e9UsH2IyvVdSvLwivsPxakQbJKq2pNbQflsa+0f9j0Pu8aPJzlRVRdy65T/P1VVz/Q7ErvI\npSSXWmvvnJnxudyKTLjXjiVBtr60AAABQElEQVT5/dbaG621xST/MMm/1/NM7C7/oqr+tSRZ/vlb\nPc9zV0Tl+l5NMlFVh6vqvtx6w/bZnmdiF6iqyq33FH21tfbf9j0Pu0dr7Rdbaw+11g7l1u95X2yt\n+dd6NkVr7Z8n+WZV/dHlhz6a5Cs9jsTu8Y0kP1ZVY8t/Bn80LhLF5jqb5OPLtz+e5B/3OMtdG+l7\ngK2stXajqp5I8oXcugrY0621qZ7HYnf48SQ/n+T3qurLy4/9F621l3qcCWAz/EdJnl3+x9zXk/z7\nPc/DLtBa+62q+lyS386tK7D/TpL/pd+p2Kmq6vkkfzLJ/qq6lORTSX4pyWer6hdy6x85fra/Ce9e\nteYtggAAAHTj9FcAAAA6E5UAAAB0JioBAADoTFQCAADQmagEAACgM1EJAABAZ6ISAACAzkQlAAAA\nnf3/BNK7BiWcIskAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f2ed9e9cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import binom\n",
    "\n",
    "# additional imports for plotting purpose\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"figure.figsize\"] = (14,7)\n",
    "\n",
    "# likelihood of x and y\n",
    "x = 1\n",
    "y = 7\n",
    "print(\"pmf(X=1) = {}\\npmf(X=7) = {}\".format(binom.pmf(k=x, p=0.3, n=10), binom.pmf(k=y, p=0.3, n=10)))\n",
    "\n",
    "# continuous pdf for the plot\n",
    "x_s = np.arange(11)\n",
    "y_s = binom.pmf(k=x_s, p=0.3, n=10)\n",
    "plt.scatter(x_s, y_s, s=100);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cumulative Probability Density Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X <=3) = 0.6496107183999998\n",
      "P(2 < X <= 8) = 0.6170735276999999\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import binom\n",
    "\n",
    "# probability of x less or equal 0.3\n",
    "print(\"P(X <=3) = {}\".format(binom.cdf(k=3, p=0.3, n=10)))\n",
    "\n",
    "# probability of x in [-0.2, +0.2]\n",
    "print(\"P(2 < X <= 8) = {}\".format(binom.cdf(k=8, p=0.3, n=10) - binom.cdf(k=2, p=0.3, n=10)))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
